{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A study on spontaneous decay rate of an atom in presence of a nanofiber using BEM approach\n",
    "\n",
    "In these notes, I calculate the Local Density of States (LDOS), or the imaginary part of the on-site Green's function and hence the modified spontaneous emission rate of an atom in presence of a nanofiber using the Boundary Element Method (BEM). The BEM code is from Prof. Alejandro Manjavacas's group. \n",
    "\n",
    "This is an [IJulia notebook](https://github.com/JuliaLang/IJulia.jl), which provides a nice\n",
    "browser-based [Jupyter](http://jupyter.org/) interface to the [Julia language](http://julialang.org/), a high-level dynamic language (similar to Matlab or Python+SciPy) for technical computing.  The notebook allows us to combine code and results in one place.\n",
    "\n",
    "We are only manipulating the generated data from the simulation results in this notebook. As a brief recap of the simulation process, I have used a compiled BEM code by Alejandro's group written in C++ called `bem2D` on a cluster computing system. A configuration C++ code is defined in the file `scripts_ldos.cpp` which is in the same folder as `bem2D`. I compiled the script and put the generated executable into another folder called `p21`, for example, by\n",
    "```\n",
    "g++ scripts_ldos.cpp -lstdc++ -o ../p21/scripts_ldos\n",
    "```\n",
    "Then ran the executable and submitted the generated PBS script to the cluster system to run the simulation:\n",
    "```\n",
    "cd ../p21/\n",
    "./scripts_ldos\n",
    "qsub ldos_N_1_lam_894_eps_4_0_a_225_x_405_y_0_q_0_1.45_146.pbs\n",
    "```\n",
    "Notice that the name of the PBS script is automatically generated based on the configuration parameters for this simulation. The name will vary for different simulations. After running the script, I got a set of data files--one has the same name as the PBS script but with a `.dat` extension for the data table storing the calculated LDOS values; there are another two `*.dat` files for the geometry of boundary and dieletric function distribution. We will look into those data files in the following sections.\n",
    "\n",
    "\n",
    "## 3D dielectric waveguide simulated in 2D\n",
    "\n",
    "Just a little more detail on the simulation itself: By assuming the waveguide along z-axis or the light propagation direction is uniform, one can completely solve the boundary condition problem of dipole emission by simulating the field in one single layer of the xy cross section. The z-component of the field only adds in a phase factor. The data of the simulated result is stored in the /data/ folder of this repo. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can read in this data as a matrix of numbers by the `readdlm` function in Julia with the `header=false` option meaning that it reads the first line as the beginning of the data entries without a list of strings describing each column."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's plot the results.  I'll use the [PyPlot](https://github.com/stevengj/PyPlot.jl) package in Julia, which is an interface to the sophisticated [matplotlib](http://matplotlib.org/) Python plotting library.   We'll plot three things:\n",
    "\n",
    "* The waveguide structure in terms of $\\epsilon$ and the interface boundary between two media.\n",
    "* Plot the LDOS components for a fixed dipole position.\n",
    "* Calculate the waveguide-modified spontaneous decay rate when the dipole varies its position outside of the waveguide.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting the boundary and index of refraction profile of the waveguide in the xy cross section\n",
    "\n",
    "Our boundary points are meshed in the files `/data/geom_a_225.data` and `/data/geom_regions_a_225.data`, which positions where the equivalent charges and current sources to be computed in the BEM simulation. The waveguide has a circular cross-section of a radius $a=225nm$ ($nm$ is the unit of length) and a index of refraction of $n_1=n_{core}=1.4496$ for the waveguide material and $n_2=n_{clad}=1$ for the vacuum clad. \n",
    "\n",
    "It is good to plot out the mesh of index of refraction in space and find out how good is the mesh resolution. This can be done by plotting out the output eps file in a simple data table format, which ends in `.dat`. \n",
    "\n",
    "The following will first print out some of the data in order to figure out the physics meaning of the dimensions. They should contain the coordinate and index of refraction information for the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10201×3 Array{Float64,2}:\n",
       " -269.999  -269.998  1.0\n",
       " -269.999  -264.599  1.0\n",
       " -269.999  -259.199  1.0\n",
       " -269.999  -253.799  1.0\n",
       " -269.999  -248.399  1.0\n",
       " -269.999  -242.999  1.0\n",
       " -269.999  -237.599  1.0\n",
       " -269.999  -232.199  1.0\n",
       " -269.999  -226.799  1.0\n",
       " -269.999  -221.399  1.0\n",
       " -269.999  -215.999  1.0\n",
       " -269.999  -210.599  1.0\n",
       " -269.999  -205.199  1.0\n",
       "    ⋮                   \n",
       "  269.994   210.599  1.0\n",
       "  269.994   215.999  1.0\n",
       "  269.994   221.399  1.0\n",
       "  269.994   226.799  1.0\n",
       "  269.994   232.199  1.0\n",
       "  269.994   237.599  1.0\n",
       "  269.994   242.999  1.0\n",
       "  269.994   248.399  1.0\n",
       "  269.994   253.799  1.0\n",
       "  269.994   259.199  1.0\n",
       "  269.994   264.599  1.0\n",
       "  269.994   269.998  1.0"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "boundary = readdlm(\"data/geom_regions_a_225.dat\", header=false);\n",
    "boundarypoints = boundary[:,1:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "471×3 Array{Float64,2}:\n",
       " 224.995    1.50075  1.0\n",
       " 224.955    4.50198  1.0\n",
       " 224.875    7.50241  1.0\n",
       " 224.755   10.5015   1.0\n",
       " 224.595   13.4987   1.0\n",
       " 224.395   16.4936   1.0\n",
       " 224.155   19.4855   1.0\n",
       " 223.875   22.4739   1.0\n",
       " 223.555   25.4583   1.0\n",
       " 223.196   28.4382   1.0\n",
       " 222.796   31.413    1.0\n",
       " 222.358   34.3823   1.0\n",
       " 221.879   37.3454   1.0\n",
       "   ⋮                    \n",
       " 222.358  -34.3823   1.0\n",
       " 222.796  -31.413    1.0\n",
       " 223.196  -28.4382   1.0\n",
       " 223.555  -25.4583   1.0\n",
       " 223.875  -22.4739   1.0\n",
       " 224.155  -19.4855   1.0\n",
       " 224.395  -16.4936   1.0\n",
       " 224.595  -13.4987   1.0\n",
       " 224.755  -10.5015   1.0\n",
       " 224.875   -7.50241  1.0\n",
       " 224.955   -4.50198  1.0\n",
       " 224.995   -1.50075  1.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epsilon3D = readdlm(\"data/geom_a_225.dat\", header=false);\n",
    "epsilon2Dpoints = epsilon3D[:,[1,2,4]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we plot out the data in a 2D (xy) plane. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "269.999"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fc8f48664d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using PyPlot\n",
    "#println(convert(Int64,floor(lenz/2)))\n",
    "x = boundarypoints[:,1];\n",
    "y = boundarypoints[:,2];\n",
    "v_regions = boundarypoints[:,3];\n",
    "lenx = length(x)\n",
    "\n",
    "fig = figure(\"Boundary points plot\",figsize=(10,10))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "c = get_cmap(\"PRGn\")\n",
    "rgbs = [c(norm(value/2.)) for value in v_regions]\n",
    "scatter(x,y,c=rgbs,linewidths=0,marker=\".\",s=5)\n",
    "\n",
    "xlabel(L\"x/nm\")\n",
    "ylabel(L\"y/nm\")\n",
    "axis(\"image\")\n",
    "xlim(-300,300)\n",
    "ylim(-300,300)\n",
    "tight_layout()\n",
    "title(\"meshing points (x,y)\");\n",
    "display(maximum(abs.(x)))\n",
    "\n",
    "subplot(1,2,2)\n",
    "x_eps = epsilon2Dpoints[:,1]; y_eps = epsilon2Dpoints[:,2]; v_eps = epsilon2Dpoints[:,3];\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "c = get_cmap(\"Greys\")\n",
    "rgbs = [c(norm(value/2.)) for value in v_eps]\n",
    "scatter(x_eps,y_eps,c=rgbs, marker = :.,s=1)\n",
    "\n",
    "xlabel(L\"x/ nm\")\n",
    "ylabel(L\"y/ nm\")\n",
    "axis(\"image\")\n",
    "xlim(-280,280)\n",
    "ylim(-280,280)\n",
    "tight_layout()\n",
    "#gcf() # Needed for IJulia to plot inline\n",
    "title(\"boundary points (x,y)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first plot only shows the 101$\\times$101 data points, in which the plotted area is the computing region of a $270nm\\times 270nm$ square with the nanofiber region colored in green. The figure on the right covers the boundary points pretty densely, although the point overlap at the $(225,0)nm$ location is not visible.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting the LDOS components with a fixed dipole position"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To calculate the modified decay rates, we need to use the LDOS value at the dipole position. The result is calculated at a series of $k$ points. I expect to see a continuous positive curve when $k\\in [0,1]\\omega/c$ or in the radiative mode regime and a single positive spark in the $[1,1.45]\\omega/c$ or guided mode regime--given the waveguide is a single-mode glass fiber."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0589"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1.0589"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fc8f27c1590>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ldos = readdlm(\"data/ldos_N_1_lam_894_eps_2.1013_0_a_225_x_405_y_0_q_0_1.45_146.dat\", header=false);\n",
    "ldosqpoints = ldos[:,[2,5,6,7,8]]\n",
    "using PyPlot\n",
    "#println(convert(Int64,floor(lenz/2)))\n",
    "q = ldosqpoints[:,1]\n",
    "ldosx = ldosqpoints[:,2]\n",
    "ldosy = ldosqpoints[:,3]\n",
    "ldosz = ldosqpoints[:,4]\n",
    "ldos_av = ldosqpoints[:,5]\n",
    "lenx = length(q)\n",
    "\n",
    "fig = figure(\"LDOS q plot\",figsize=(10,10))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "cp = ax[:plot](q, ldosx, \"b-\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS_x\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,2)\n",
    "#ylim(-300,300)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "display(maximum(abs.(ldosx)))\n",
    "\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "cp = ax[:plot](q, ldos_av, \"r-\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,2)\n",
    "#ylim(-300,300)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "display(maximum(abs.(ldosx)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, ***there are negative sparks in the guided mode regime***. It could be a numerical error in the code and may be removed using some tricks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can integrate the $\\mathrm{LDOS}_i$ values over $k$ along the whole axis to obtain the total decay rate or from $0$ to $\\omega/c$ to obtain the radiative mode contribution for the decay rate. Each integral can be performed as a sum over all discrete points along the $k$-axis using the Trapezoid approximation as below:\n",
    "$$\\begin{align}\\int \\mathrm{LDOS}_i(k)dk &= \\sum_{j=1,\\cdots,N-1} \\frac{\\mathrm{LDOS}_i(k_j)+\\mathrm{LDOS}_i(k_j+1)}{2}\\Delta k\\\\\n",
    "&= \\left(\\frac{\\mathrm{LDOS}_i(k_N)+\\mathrm{LDOS}_i(k_N)}{2}+\\sum_{j=2,\\cdots,N-1}\\mathrm{LDOS}_i(k_j)\\right)\\Delta k,\\end{align}$$\n",
    "where $N$ is the total number of data points along the $k$-axis, and $\\Delta k=k_j-k_{j-1}=k_2-k_1$ as the interval of $k$-vector in a uniform distribution manner.\n",
    "\n",
    "In our case, the integrand is discontinuous and breaks the continuity at $k=k_0=\\omega/c$ point. Therefore, we divide our integration limit into the $[0,n_2)k_0$ and $(n_2,n_1]k_0$ two regions corresponding to radiation mode contribution and guided mode contribution parts, where $n_2=1$ is the index of refraction of the vacuum clad and $n_1=1.4496$ is the index of refraction of the waveguide bulk material. Since there are surdden jumps in the guided mode regime, the integration may have some error using current method, but it shouldn't be too large as the jumps are in small intervals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Delta k = 0.010000 k_0.\n"
     ]
    }
   ],
   "source": [
    "length_of_q=length(ldosqpoints[:,1])\n",
    "breakpoint = Int(floor((length_of_q-1)/maximum(ldosqpoints[:,1])*1.)) # The breaking point of index is chosen under the fact that the radiation contribution part takes a half space for $n_1=2$.\n",
    "using NumericalIntegration\n",
    "ldos_x_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,2])\n",
    "ldos_x_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,2])\n",
    "ldos_x = ldos_x_rad+ldos_x_guide;\n",
    "ldos_y_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,3])\n",
    "ldos_y_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,3])\n",
    "ldos_y = ldos_y_rad+ldos_y_guide;\n",
    "ldos_z_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,4])\n",
    "ldos_z_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,4])\n",
    "ldos_z = ldos_z_rad+ldos_z_guide;\n",
    "ldos_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,5])\n",
    "ldos_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,5])\n",
    "ldos_total = ldos_rad + ldos_guide;\n",
    "# Print out the result.\n",
    "@printf(\"\\Delta k = %4f k_0.\\n\",ldosqpoints[2,1]-ldosqpoints[1,1])\n",
    "@printf(\"LDOS_x_rad=%5f, LDOS_x_guide=%5f, LDOS_x=%5f;\\n\",ldos_x_rad,ldos_x_guide,ldos_x)\n",
    "@printf(\"LDOS_y_rad=%5f, LDOS_y_guide=%5f, LDOS_y=%5f;\\n\",ldos_y_rad,ldos_y_guide,ldos_y)\n",
    "@printf(\"LDOS_z_rad=%5f, LDOS_z_guide=%5f, LDOS_z=%5f;\\n\",ldos_z_rad,ldos_z_guide,ldos_z)\n",
    "@printf(\"LDOS_rad = %5f, LDOS_guide = %5f, LDOS = %5f.\",ldos_rad,ldos_guide,ldos_total)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the result above was calculated using a $k$-resolution of $\\Delta k= 0.01k_0$. We can compare the results above with a coarser/finer gridding cases."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LDOS with material losses\n",
    "The above shows the misbehavior of the guided mode contribution to LDOS. The peaks are due to numerical difficulties when the width of peaks are too narrow where the width of peaks are determined by the loss rate of the material according to uncertainty principle. \n",
    "\n",
    "Below we will study the cases with material losses. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0589"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1.0589"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fc8f22a4250>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ldos_1 = readdlm(\"data/ldos_N_1_lam_894_eps_2.1013_0.1_a_225_x_405_y_0_q_0_1.45_146.dat\", header=false);\n",
    "ldosqpoints_1 = ldos_1[:,[2,5,6,7,8]]\n",
    "ldos_01 = readdlm(\"data/ldos_N_1_lam_894_eps_2.1013_0.01_a_225_x_405_y_0_q_0_1.45_146.dat\", header=false);\n",
    "ldosqpoints_01 = ldos_01[:,[2,5,6,7,8]]\n",
    "ldos_0001 = readdlm(\"data/ldos_N_1_lam_894_eps_2.1013_0.0001_a_225_x_405_y_0_q_0_1.45_146.dat\", header=false);\n",
    "ldosqpoints_0001 = ldos_0001[:,[2,5,6,7,8]]\n",
    "using PyPlot\n",
    "#println(convert(Int64,floor(lenz/2)))\n",
    "q = ldosqpoints_1[:,1]\n",
    "lenx = length(q)\n",
    "ldosx_1 = ldosqpoints_1[:,2]\n",
    "ldosy_1 = ldosqpoints_1[:,3]\n",
    "ldosz_1 = ldosqpoints_1[:,4]\n",
    "ldos_av_1 = ldosqpoints_1[:,5]\n",
    "ldosx_01 = ldosqpoints_01[:,2]\n",
    "ldosy_01 = ldosqpoints_01[:,3]\n",
    "ldosz_01 = ldosqpoints_01[:,4]\n",
    "ldos_av_01 = ldosqpoints_01[:,5]\n",
    "ldosx_0001 = ldosqpoints_0001[:,2]\n",
    "ldosy_0001 = ldosqpoints_0001[:,3]\n",
    "ldosz_0001 = ldosqpoints_0001[:,4]\n",
    "ldos_av_0001 = ldosqpoints_0001[:,5]\n",
    "\n",
    "\n",
    "fig = figure(\"LDOS q plot\",figsize=(10,10))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "cp = ax[:plot](q, ldosx_1, \"r-\", linewidth=2.0)\n",
    "cp = ax[:plot](q, ldosx_01, \"b-.\", linewidth=2.0)\n",
    "cp = ax[:plot](q, ldosx_0001, \"m:\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS_x\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,1.5)\n",
    "ylim(-0.5,2)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "legend([L\"imag(\\varepsilon=0.1)\",L\"imag(\\varepsilon=0.01)\",L\"imag(\\varepsilon=0.0001)\"],loc=\"lower left\")\n",
    "display(maximum(abs.(ldosx)))\n",
    "\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "cp = ax[:plot](q, ldos_av_1, \"r-\", linewidth=2.0)\n",
    "cp = ax[:plot](q, ldos_av_01, \"b-.\", linewidth=2.0)\n",
    "cp = ax[:plot](q, ldos_av_0001, \"m:\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,1.5)\n",
    "ylim(-0.5,2.2)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "legend([L\"imag(\\varepsilon=0.1)\",L\"imag(\\varepsilon=0.01)\",L\"imag(\\varepsilon=0.0001)\"],loc=\"lower left\")\n",
    "display(maximum(abs.(ldosx)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LDOS components as a function of dipole position\n",
    "\n",
    "We can also plot out the LDOS's when the dipole is placed at different locations along the x-axis. Here we are using some rough parameters just for demonstration purpose."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "As plotted below, the dipole is changing position from $270$nm to $572.5$nm from the origin (center of the waveguide cross section) along the x-axis. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Load the simulated data.\n",
    "ldos = readdlm(\"data/ldos_N_1_lam_894_eps_2.1013_0_a_225_x0_270_x1_572.5_nx_14_y_0_q_0_1.45_146.dat\", header=false);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ldosqpoints = ldos[:,[2,3,5,6,7,8]]\n",
    "lenr = 14; rstart=270.; rend=572.5; \n",
    "lenq = 146; \n",
    "breakpoint = Int(floor((lenq-1)/maximum(ldosqpoints[:,1])*1.)) # The breaking point of index is chosen under the fact that the radiation contribution part takes a 1.0/max(k) space for $n_1=1.45$.\n",
    "rprime = linspace(rstart,rend,lenr);\n",
    "drprime = rprime[2]-rprime[1]; # Gradient of atom position vector.\n",
    "ldos_rscan = zeros(lenq,5,lenr);\n",
    "ldos_int = zeros(lenr,12);\n",
    "ii=1;\n",
    "using NumericalIntegration\n",
    "for ri in rprime\n",
    "    ind=find(abs.(ldosqpoints[:,2].-ri).<drprime/2.);\n",
    "    ldos_rscan[:,:,ii]=ldosqpoints[ind,[1,3,4,5,6]];\n",
    "    \n",
    "    ldos_x_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,2,ii])\n",
    "    ldos_x_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,2,ii])\n",
    "    ldos_x = ldos_x_rad+ldos_x_guide;\n",
    "    ldos_y_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,3,ii])\n",
    "    ldos_y_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,3,ii])\n",
    "    ldos_y = ldos_y_rad+ldos_y_guide;\n",
    "    ldos_z_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,4,ii])\n",
    "    ldos_z_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,4,ii])\n",
    "    ldos_z = ldos_z_rad+ldos_z_guide;\n",
    "    ldos_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,5,ii])\n",
    "    ldos_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,5,ii])\n",
    "    ldos_total = ldos_rad + ldos_guide;\n",
    "    \n",
    "    ldos_int[ii,1]=ldos_x_rad;\n",
    "    ldos_int[ii,2]=ldos_x_guide;\n",
    "    ldos_int[ii,3]=ldos_x;\n",
    "    ldos_int[ii,4]=ldos_y_rad;\n",
    "    ldos_int[ii,5]=ldos_y_guide;\n",
    "    ldos_int[ii,6]=ldos_y;\n",
    "    ldos_int[ii,7]=ldos_z_rad;\n",
    "    ldos_int[ii,8]=ldos_z_guide;\n",
    "    ldos_int[ii,9]=ldos_z;\n",
    "    ldos_int[ii,10]=ldos_rad;\n",
    "    ldos_int[ii,11]=ldos_guide;\n",
    "    ldos_int[ii,12]=ldos_total;\n",
    "    ii+=1;\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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ZSEs7zYYN6Xz//XHy8y0LpJUr00lIuJCn0tLSgQw6dSo5loMHrduSk5NLfS0Vrph65plnWLFiBWFhYaSnp7Nw4UKL7UOHDgVgwoQJREVFkZiYSOPGjYGihDVr1ixGjBjBnj178PT05L333qOwsJCXX375Rl9Ktefo6MgzzzzDsGHDePnll/nggw8oLCzk8OHDDBo0iE6dOjFq1Cj69+9vnsBCRG6MgoIC0tLSSE5OJjk5mZSUFPPvF7ddry54RqOR+vXr4+npSc6lndYrIOWmqsPb25uVK+exe3dRt/Qff/wRgA0bNrBhQxAJCYMYO/YRevToYbW2mIiUzcaNsGMHPPPMhbbCwqI7TbNmwZNPXmhPSoKPPsrl+eePkpZ2IRdBCp99lsx3313ITcWzRvfqVfLzxsfbFq+joyNeXl7Ur1+/1MdUuHeJ3bt3YzAYWLFiBStWrLDaXpywDAaDebKDYkajkTVr1vD8888zd+5czpw5wx133EFUVBTNmjW7IfGLNS8vL959912eeOIJxo8fz/fffw8UdXHZsmULo0eP5qGHHmLYsGGEhoYqeYlco6ysLKui6NJCKTU1lcJyHH1fu3ZtPD098fLysvhZUpuXlxf16tUzv4dXhklqlJuqnttuu43169fzzTff8NxzzxEfHw+YWLNmCWvWLMHHx4eIiAiSkyN59NHb6NnT3hGLVAxpaUWPtm0vtGVnw+23w//9H1y0PjlbthR1xxs3rpD09HRzPnJzS2bx4mR27bqQnxITkzGZTlBSz+fjx+HPP8seq7u7e4k56HI/XV1dzb2mSpubDCbNXQ0UvWDt27cnLi5O/dKvI5PJxKpVq/jXv/7F3r17rbZ7e3sTERHBsGHDaNeunboBilwiJyeHw4cPk5iYyOHDhzl8+DBHjhyxKJyys7Ov+Xlq1aqFv78/vr6+eHl5XTH51K9fHxcXF5ufS++/l6fX5sbIy8vjzTfn8vbbr5OVddJqe6NGt/LUU8MYOnRoqSYMEakKsrPhzTdh8GBo0+ZC+3PPwTffXOgeZzKZOHnyFI0aJTJw4GHatUskKSmJ5ORkfv01mYMHk3FwSCE/P/+aY3J3d8ff3x8fH5+rFkf169e/pm7UpX3/VTF1nhLWjWUymdi2bRtRUVF88cUXnDxpnbxuueUWIiMjGTp0KP4XjzoUqcKysrLMRVJxwXTxz+PHj1/T+Q0GA97e3vj7++Pv74+fn5/594v/dnd3v2FfZuj99/L02txYeXl5rF69ms8//5yVK1daffgzGo3ce++9GAzDuPnmvrz3nutlziRSMZ07V9QFztcXLh5hMX06bN0KF994z8sDZ2f46CMTffocN+ehRYsO8+23ifTunUhSUlHbtX6J5+DgcNl8dPHf1/LFXVmV9v1X/anELgwGAx07dqRjx47MnDmTNWvWEBUVxcqVK82D0ffs2cO//vUvJkyYQPfu3YmMjKRfv364uip5SeVkMpnIyMgosUgq/nnq1Cmbz+/q6nrFROTv74+3t7cmPBC5DCcnJ/r27Uvfvn05ceIES5Ys5eOPP2fnzl+AoolIYmNjgVgcHGqTnd2PYcOG0b17d/Lza1CjBuh/L6kofvwRjh6FiIgLbcePQ8uWRXeWwsKK2goLCzl1KpXNmw+zeLFlXqpRI5F//vMw//iH9eLiq1eXLg5PT88S89HFbfXr17fqIl1Z6M7Uefr2r2I4efIkX375JVFRUfz8889W211cXOjXryh53XvvvebZskQqir///ptDhw6RkJBg8bM4MWVlZdl0XoPBgL+/P4GBgQQEBBAYGGj+vVGjRvj7++Pm5lbOV3Nj6P338vTaVAwHDx4kOjqazz//nEOHDllt9/Pzo3XroezcOYzk5FvR6h9yPZ09W7SWUrGjR2HkSHj11aJxS8XGji2aOvyPP0ycPHmShIQE4uMTGDYsgQ4dDuHqWpSbkpKSbJ5V1dHRkYCAAKu8FBAQQMOGDfHz86u067ipm18ZKWFVPPHx8URHRxMVFUVCQoLVdl9fX4YOHcqwYcNoe/EoSJHrqKCggOTkZItiqfhx6NAh0tLSbDpvjRo1aNSokTkhXZqYGjZsiOPF2bMK0fvv5em1qVhMJhObN29mwYLPiYlZSkZGhtU+7dq1Y9iwYURERODt7UNcHLRvDxoCLGWRkwM//wxBQeDhcaH9scdg//6iWfKKZWeDm1su//d/h2nT5kI+WrcugT/+SMDVNeH82mplV6tWrcvmpcDAQLy9vSvtHaWrUTFVRkpYFZfJZOKXX34hKiqKJUuWlJi82rZtS2RkJBEREfj6+tohSqlKMjIySiyUEhISSExMtGkQrYODA40bN7ZIQhf/9Pf3r7YzWer99/L02lRcubm5rFy5ks8//5zVq1dz7tw5i+1Go5E77ujJli3DiI19iB49btxYD6lcFi0qWlh27NgLbUlJEBBQ1JXuvvuKPgulpqYyYUICK1YcYtw4y/x05EgyUPaP9K6uriXmpeLfvby8qu1kYCqmykgJq3LIy8tj1apVfP7556xatarEwcE9evQw92HXrEtSktzcXA4fPmzufnfo0CGL4snWcUu+vr40adLE/LjpppvMP319fdUt9TL0/nt5em0qh+PHj7NkyRI+//xztm3bZrXd1dWVAQMGEB4eTqdOnXjkkTpERMCAAXYIVm6I48fh9Glo0uRCW3x80bpIixdDcPCF9iefLLoLtWFDhjknJSQk8vzzh7jllkMUFhYVTGfOWI9bupqaNWsSEBBgzkcX56ebbroJDw+PalssXY0moJAqycnJiX79+tGvX7/zg4OLkteWLVuAokGU69atY926dUBRP/YOHToQHBxMcHAwHTp0KNNCbFI55efnk5SUZFEoFf+emJjI0aNHbTpv7dq1LZLRxQVTYGAgtWrVKucrEZHKwMvLizFjxjBmzBj2799vHl91+PBhALKzs/nss8/47LPPMBgMmEwtOH48mKNHi3LTbbfdxpo1tVi9Gj78UF0CK5Njx2DBAhg2DHx8LrSPGVNUUP3ww4U2J6ds4uMT+fLLRLZsuZCXtm49REpKIvXqWfe8+eOPq8fg5eVlkY8u/r1hw4bVttfDjaI7U+fp27/K7cCBA+bklZiYeMV9mzRpYi6sgoODCQoKqrQD96ur4nFLJRVKhw4dIjk52aYFaY1GI40aNSqxWGrSpAmenp76Bu860Pvv5em1qbwKCwvZtGkTUVFRfPnll1ecfKZmzZrUrduGwsJg3nyzqMC65ZZbqFnTgREjYNQouOuuGxh8Nff337BzZ9F4pdq1L7Q/80zR+KT58y+0xcdD06awbh3cc8+FXg/vvJPI1q2H6N37wpd66enpNsXj7OxsvpNU0t0lfYa5PnRnSqqV5s2b88orr/Dyyy+zefNmVq1axY4dO9ixYweZmZkW+xZ35VqyZAlQNEtaq1atLO5e3XbbbThrOia7KFr87yTJyckWi9EeOXLEXDAlJSVZjU8oLR8fHwIDA81JqPj34v7hmjZcRMqD0WikS5cudOnShblz57Jy5Up+/PFHtm/fzu7duy26qZ87d44TJ34FfmXUqA+Bog/QrVq1Y9euYDw9g/HwCKZ58+YYjUaWLYOEBHj+eTtdXCX1999QqxZcPF/CW28VzYx38XilAwegSxfYtu1Cd7yCggLS0tLYufMIX311IS8dPvwXkMjAgYfIzLTu9bB06dXjqlGjhnlM7aV5qUmTJvj4+FTZSR6qAhVTUqUYjUbuuece7rnnHqDom8E///yT7du3mx+7du2y6HdsMpnYu3cve/fuZcGCBUDRZAG33nqrucAKDg6mdevWulV+jc6dO8fRo0dLLJSKf09OTiY3N9fm56hfv75VMiounAICAtQVT0RuuFq1ajFw4EAGDhwIFI3//e2339ixY4c5N+3du9fijnpubi67dm0BtvD22/D221CnTh3at29PSkoHatQIZuDAYAICAjAYDBw5AlOmwKRJluN0EhKKug3edNMNvugbICcHDh2CFi3g4vT8wQfg5gZDh15o27ABunWDP/+Em2++0L5lC5w6dYb777+Qi/bvTwaOMHZsMiZTUXtqaioFBQUA9OtnHcsl39tauHhpi5K+yFNXvMpN/3JSpRmNRpo3b07z5s0Zev5d9dy5c+zZs8ciif32228Wdzry8/PZuXMnO3fuZN68eUBRMrz99tsJDg6mRYsWNGjQwOLh7u5ebbuAFRYWkpmZybFjx65YKKWmpnKtPYvr1KljVSRdnJTU3UFEKjonJyfzF3VPPPEEUDSuateuXRZf/sXHx1scl5WVxY8//gj8CBQVSJ6engQHB+Pt3YHPPgugffsGdOhwITdNnFibY8eK1hsqduIE9OkD77wDnTpdaI+LK9rWs2f5Xu+5c0VrI7lcMqFhejo4ORUVPsX+/LOo8PnHPyz3HTYMOnSAp5++0Pbjj/DAA5CcDBfPN/XVV0XnHDQon4yMDI4ePcqBA0eAZKZNS6ZmzQt56cCBI+TlnaJZM+u4zw/HLhVvb+/LfpHXqFGjSrvWklydiimpdmrWrMltt93GbbfdxsiRI4GibwB3795tTmA7duxg3759Fh/8z5w5w88//1ziYsJQdDfLy8vLqsgq6eHl5YXLpVnFzooLolOnTpX6cfLkSU6dOkVmZuY1F0kAdevWNa+G3rBhQ6vfAwMDq3XRKiJVl6urq0XPCihayD4uLs6iwEpOTrY4Lj09nTVr1gBrgKKJDy5mNLrg7NyAjh0v5CCjsQG//NKA1asbcPr0hfb58z3Zts3BopjKzwdfX1iyBO6990L7Sy/BqlWwY4fl8zk7w5w5ReO8ir33HkyYUHQn6WIdOsDDD8P06RfatmwpWktp6NCiLnn5+fmcOnWKX389RVbWKZo3v5CDdu8+BZxi9Oiin8Xtf/55iry8Uzg6Zlu9zuc7oJRJgwYNLHLSxXmpYcOGBAQEVLicLjeOiikRivqmd+zYkY4dO5rbTp8+zc6dOy2S2KFDhy57jvz8fFJSUkhJSSnVc7q6uloUV8W/16tXDyjqfljej8LCQrKyskosjMqrICqJwWDAx8fHqki69G9XV9fr8vwiIpWRh4cHoaGhhIaGmtuOHj1q/tKvODedOHHisucoLMwhJyeRbdsSrbZNm2a9v4ODB61aXchLrq4NOHGiAQsXurJz54V88t//mjh0yMRrr1nmmfx8E998YyIl5ULbtm0mzp41MXGi5b4ZGSa+/95ETs45MjIyOHXqFPHxRYVR06anyMw8yd9//22O7Y8/4NtvrWP++uuyvKoXODo64ufnV+KXd8W/+/r6VtkF06V8aDa/8zRjkpRGeno6O3fuJDk5mWPHjl32YevkCJWJ0WjE3d0dDw8P6tWrR7169fD09CwxIfn4+GhiB7ksvf9enl4buRqTyURiYiK7d+8mLS3tsnnpxIkT1+0Ls4rE0dHRnJOKH97e3iUWSpqhVa5Es/mJXAeenp70vEpn8qJv2zKuWGxd/Dh58uQNit5ajRo1cHd3t0o8pXm4ublpdiERETszGAzmsTlXUjRj4IlS5aXjx49z+vTpG3QF1pycnGzKS/Xq1aNWrVoqkOSGUjElUs4MBoP5Tb1FixZX3T8/P98iwWVkZGAwGK7bw83NzaIgUtIREan6atasibe3N97e3qXa/8yZMxw/fpxjx46RlpbGmTNnrlteuvSLPc26KpWJiikRO3NwcMDHxwefi5dOFxERsaNatWrRuHFjGjdubO9QRCo09dERERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKREREREHlv5BAAAgAElEQVQRERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRERERERERuomBIREREREbGBiikREREREREbVMhi6u+//+all17ivvvuo379+hiNRqKiokp17IIFCzAajVaPGjVqcOzYsescuYiIVFXKTSIicqma9g6gJOnp6UybNo2AgADatWvHhg0bynS8wWBg2rRpBAYGWrS7u7uXX5AiIlKtKDeJiMilKmQx5efnR2pqKg0aNCAuLo7g4OAyn6N3794EBQVdh+hERKQ6Um4SEZFLVchufg4ODjRo0OCaz5OdnU1hYWE5RCQiItWdcpOIiFyqQhZT18pkMhESEkKdOnVwcXHhwQcf5M8//7R3WCIiUo0pN4mIVD0VspvftXBxcWHEiBF069aNOnXqEBcXx9tvv03nzp3ZuXMn/v7+9g5RRESqGeUmEZGqqcoVUwMHDmTgwIHmv8PCwujZsyddunTh1Vdf5b333rNjdCIiUh0pN4mIVE1VspvfpTp37kzHjh35/vvv7R2KiIgIoNwkIlIVVLk7U5fTqFEjDhw4cNX9xo8fT926dS3awsPDCQ8Pv16hiYhUG4sXL2bx4sUWbZmZmXaKxv6Um0RE7O9aclO1KaYSEhLw8vK66n4zZ87UtLUiItdJSQXAzp07ad++vZ0isi/lJhER+7uW3FSpu/mlpqayf/9+CgoKzG3p6elW+61evZq4uDjuu+++GxmeiIhUQ8pNIiLVR4W9M/Xuu++SkZFBcnIyAN9++y1//fUXAGPHjsXNzY0JEyYQFRVFYmIijRs3BuCuu+7i9ttvp0OHDtStW5e4uDg+/fRTAgIC+Pe//2236xERkcpPuUlERC5WYYupt956i6SkJAAMBgNfffUVX331FQDDhg3Dzc0Ng8GA0Wh5c23IkCGsWrWK2NhYcnJy8PX15fHHH2fKlCml6kohIiJyOcpNIiJyMYPJZDLZO4iKoLhfZFxcnPqli4jcQHr/vTy9NiIi9lHa999KPWZKRERERETEXlRMiYiIiIiI2EDFlIiIiIiIiA0q7AQUItVJUlJSiVMni1R2np6e5hntREREqhoVUyJ2lpSURKtWrcjJybF3KCLlzsXFhX379qmgEhGRKknFlIidpaenk5OTQ3R0NK1atbJ3OCLlZt++fTz88MOkp6ermBIRkSpJxZRIBdGqVStNfSwiIiJSiWgCChERERERERuomBIREREREbGBiikREREREREbqJgSERERERGxgYopERERERERG6iYEhERERERsYGKKRGpMIxGIzVq1CjVvoGBgRiNRvPD0dERT09P2rZtS2RkJDExMeTn51/xHGfOnGHmzJl07doVLy8vnJyc8PPzIywsjJiYmCseGxsbS9++ffH398fJyQkPDw9atGjBoEGDmDt3bqmvWURERCovrTMlIpWSwWDAYDDw9NNP4+7uTmFhIVlZWezfv5+vv/6a6OhomjVrRnR0NMHBwVbH79mzhz59+pCYmEhgYCADBgygfv36JCUlsWrVKlauXEloaChLly6lbt26Fse+9tprTJo0CQcHB3r37k2LFi2oUaMG8fHxbNy4kWXLljF69GiMRn1fJSIiUpWpmBKRSm3cuHE0btzYou306dNMnjyZOXPm0KtXL7Zs2ULz5s3N29PS0ggNDSUtLY2JEycydepUi8InIyODiIgI1q5dy+DBg1m7dq15W1JSEi+99BJ169Zl8+bNtG7d2iqm2NhYFVIiIiLVgLK9iFQ5bm5uzJo1i8jISDIyMpgwYYLF9okTJ5Kamkp4eDjTpk2zKnzc3d2JiYmhSZMmxMbGsnjxYvO2rVu3UlBQQLdu3UospABCQ0NtinvcuHEYjUaee+45q20ff/wxRqORXr162XRuERERKX8qpkSkypoyZQoAK1euJDs7G4Dc3FwWLlyIwWBg8uTJlz3WxcWFZ599FpPJxPz5883t9evXByAhIQGTyVSu8c6YMYOgoCBmzZrFmjVrzO179uzh6aefxs/Pj4ULF5brc4qIiIjt1M1PRKqsJk2a0LBhQ5KTk4mLi6Nr167s2LGDvLw8/P39adGixRWPL77DtGXLFkwmEwaDgU6dOhEQEMDvv/9OSEgIjzzyCB07dqRly5bX3LXPwcGBJUuWEBQUxCOPPMKvv/6Ku7s7gwcPJi8vj+joaDw9Pa/pOUREkpKSSE9Pt3cYInbj6elpNUTAViqmRCqxd96BRYtgxw7L9pYt4ZlnYNSoC22LFsELL8CRI5b7du8OXbvCSy9daNuwAR5+GLZvB1/fC+1xcdC+fblfxnXl7+9PcnIyx48fB+Do0aMANGrU6KrHFu9z9uxZTpw4gaenJy4uLqxYsYLhw4ezadMmfvrpJwBq1apFcHAwgwcPZuTIkTg6OtoU780338z8+fMJDw8nPDycm2++mX379jFp0iRCQkJsOqeISLGkpCRatWpFTk6OvUMRsRsXFxf27dtXLgWViimRSiwrC1JTrdtTUuB8rzaznBxITrbeNy0NMjMt2/LyivYtKLBsP3v22uK1h+KueAaDodzO2aZNG+Li4ti5cyc//vgjO3fu5JdffuGnn35i48aNzJ8/nw0bNljNAlhagwcPZv369Xz00Uds3LiRLl268PLLL5db/CJSfaWnp5OTk0N0dDStWrWydzgiN9y+fft4+OGHSU9PVzElUt3VqQM+Ptbtfn7g6mrZ5uIC/v7W+3p7w6Wf+Z2civa9dMknG2+22FVKSgoAXl5eAPicf8H++uuvqx5bvI+jo6N5rNTFgoKCCAoKMv+9Y8cOhg8fzm+//cbUqVN55513bI57wIABfPTRRxgMBsaMGVOuxaCISKtWrSzev0TENpqAQqQSe+YZ6y5+AP/7n2UXP4CICOsufgA//GDZxQ8gJKRo34u7+EHl6+IXHx/PkSNHqFmzJu3PBx8cHIyTkxMpKSns37//isfHxsYCcOedd5aqmOnQoQNz587FZDLxww8/2Bz3iRMnePTRR6lduzYuLi6MHz+eEydO2Hw+ERERuT5UTIlIlTV16lQAwsLCqF27NgDOzs5ERERgMpmYPn36ZY/Nzc3lnXfewWAwMOrSyvQK3NzcAK5ppr/IyEiOHj3KnDlzmD17NsnJyURGRtp8PhEREbk+VEyJSJVz+vRpxo4dS3R0NB4eHrz++usW26dPn463tzeLFi1iypQpFFwyOOzUqVP079+f+Ph4QkNDGTJkiHnb9u3bWbBgAbm5uVbPe+7cOd544w0MBgNdu3a1Kfa3336bNWvWMGTIEEaMGMGjjz5qXjj4rbfesumcIiIicn1ozJSIVDgjRoy47Lb3338fZ2dn898zZ87E3d0dk8lEVlYW+/fvZ+PGjeTk5NCyZUuio6Np2rSpxTl8fX2JjY0lLCyMV199lejoaHr37o2HhwdJSUmsWrWKjIwMevbsydKlSy2OTUlJYcSIEYwZM4a7776b1q1b4+zszNGjR1m7di1paWk0a9bsimtYXc727dt58cUXufnmm/nggw/M7fPnz2f79u1MnDiRe+65h44dO5b53CIiIlL+VEyJSIVRPC4pKirqsttnz55tUUzNmTMHgJo1a+Lm5oa/vz/9+vXjoYceok+fPtSsWfLbXJs2bdizZw/z5s1j+fLlLF26lOzsbDw8POjcuTPDhw+nf//+Vsf16NGDxYsXs27dOuLi4oiLiyMjI4M6derQsmVLxo8fz+jRo3FxcSnTtWdlZTFkyBCMRiNffPGFubsgFHUdXLJkCXfffTcRERHs2rWLOnXqlOn8IiIiUv5UTIlIhXFpd7srOXTo0DU/X61atRg3bhzjxo0r9TG1a9dm8ODBDB48+Jqf/2J16tQhPj7+stvbt2/PmTNnyvU5RUREbiSj0UhISMg1TdJU0WjMlIiIiIhUO0ajkRqXrgFyGYGBgRiNRvPD0dERT09P2rZtS2RkJDExMeTn51/xHGfOnGHmzJl07doVLy8vnJyc8PPzIywsjJiYmCseGxsbS9++ffH398fJyQkPDw9atGjBoEGDmDt3bqmvWcqf7kyJiIiIiFyBwWDAYDDw9NNP4+7uTmFhoXmc7tdff010dDTNmjUjOjqa4OBgq+P37NlDnz59SExMJDAwkAEDBlC/fn3zON2VK1cSGhrK0qVLrRZ8f+2115g0aRIODg707t2bFi1aUKNGDeLj49m4cSPLli1j9OjRGI26R2IPKqZERK6TzMxMZs6cWao1qkaMGFEuK7GLiMj1M27cOKv36tOnTzN58mTmzJlDr1692LJlC82bNzdvT0tLIzQ0lLS0NCZOnMjUqVMtCp+MjAwiIiJYu3atefbWYklJSbz00kvUrVuXzZs307p1a6uYYmNjVUjZkYopEZHrJCMjg1deeaVUxVS3bt1UTImIVEJubm7MmjWLjIwMoqKimDBhAsuXLzdvnzhxIqmpqURERDBt2jSr493d3YmJiaFt27bExsayePFiwsPDAdi6dSsFBQV069atxEIKIDQ01ObYi8cwLV68mIkTJ7J27VpSU1P55JNPiIyM5ODBg3z88cesX7+ew4cPk5WVhY+PD7169WLKlCn4+/tbnTM/P5833niDBQsWcOTIEfz8/Bg6dKhNs9xWBiqmRESuk4CAAAoLC+0dhoiI3ABTpkwhKiqKlStXkp2djaurK7m5uSxcuBCDwXDFYsLFxYVnn32W0aNHM3/+fHMxVb9+fQASEhIwmUyl+nKurE6ePEmnTp1wc3Ojf//+GI1GvL29AVi+fDnz58+nW7dudO7cGUdHR/bs2cNHH33EypUr2bFjB76+vhbnGzhwIN9++y1Nmzblqaee4uzZs3z66af8/vvv5R57RaBiSkRERETkGjVp0oSGDRuSnJxMXFwcXbt2ZceOHeTl5eHv70+LFi2ueHzxHaYtW7aYC6dOnToREBDA77//TkhICI888ggdO3akZcuW5da17/fffycyMpKPP/7Y6pyRkZE888wzODg4WLR///339O7dm+nTp/Puu++a2xctWsS3337LXXfdxQ8//ICjoyMAU6dOpUOHDtelGLQ3dbAUERERkat65x3o0MG6vWVLmD/fsm3RImjY0Hrf7t1h6lTLtg0bivY9etSyPS7umsK1i+Jub8ePHwfg6PmLatSo0VWPLd7n7NmznDhxAii6Y7VixQratWvHpk2bGDlyJG3atMHNzY2QkBDef/99zp49e00xOzo6MmPGjBKLM19fX6tCCorWXLzlllv47rvvLNo//fRTDAYDr732mrmQgqKujJMnT8ZkMl1TrBWRiikRERERuaqsLEhNtW5PSYHsbMu2nBxITrbeNy0NMjMt2/Lyiva9dKnBa6wR7KK4WCjPOzBt2rQhLi6O7du3M2PGDMLDw/H29uann35i9OjRdOzYkcxLX9QyCAwMxNPT87Lbo6OjCQ0NpUGDBjg4OJinh//9999JvuQfedeuXRiNRjp37mx1npCQEJtjrMjUzU9ERERErqpOHfDxsW738wNXV8s2FxcoYW4CvL3hkpm/cXIq2vfSJZ8uurFRaaSkpADg5eUFgM/5F+yvv/666rHF+zg6OprHSl0sKCiIoKAg8987duxg+PDh/Pbbb0ydOpV33nnHpph9SvpHPW/8+PHMnj0bPz8/evfujb+/P7Vq1QKK7kIlJSVZ7J+ZmYmHh0eJ63dd6XkqMxVTIiIiInJVzzxT9LjU//5n3RYRUfS41A8/WLeFhMCRI9bt7duXOUS7io+P58iRIzg4OND+fPDBwcE4OTmRkpLC/v37rzhuKjY2FoA777yzVHe2OnTowNy5c+nRowc/lPTCltLlnuv48ePMnTuXtm3b8vPPP+Pi4mKxfdGiRVbH1K1bl5MnT1JQUGBVUKWWdFuzClA3PxERERGRazT1/GCwsLAwateuDYCzszMRERGYTCamT59+2WNzc3N55513MBgMjBo1qtTP6ebmBnBdxiIlJCRQWFhIaGioVSF15MgREhISrI4JCgqisLCQTZs2WW378ccfyz3GikDFlIiIiIiIjU6fPs3YsWOJjo7Gw8OD119/3WL79OnT8fb2ZtGiRUyZMoWCSwaHnTp1iv79+xMfH09oaChDhgwxb9u+fTsLFiwgNzfX6nnPnTvHG2+8gcFgoGvXruV+XYGBgQBs2rTJYpmP7OxsHnvsMc6dO2d1zIgRIzCZTEycOJG8vDxz+8mTJ3n11Ver5Gx+6uYnIiIiItXWiBEjLrvt/fffx9nZ2fz3zJkzcXd3x2QykZWVxf79+9m4cSM5OTm0bNmS6OhomjZtanEOX19fYmNjCQsL49VXXyU6OprevXvj4eFBUlISq1atIiMjg549e7J06VKLY1NSUhgxYgRjxozh7rvvpnXr1jg7O3P06FHWrl1LWloazZo1uy4L4np7ezNkyBCWLFlCu3bt6NmzJ5mZmcTGxlKrVi3atWvH7t27LY4JDw9nyZIlrFixgjZt2vDggw+Sn59PTEwMd9xxB/Hx8eUep72pmBIRERGRaqf4LklUVNRlt8+ePduimJozZw4ANWvWxM3NDX9/f/r168dDDz1Enz59qFmz5I/Wbdq0Yc+ePcybN4/ly5ezdOlSsrOz8fDwoHPnzgwfPpz+/ftbHdejRw8WL17MunXriIuLIy4ujoyMDOrUqUPLli0ZP348o0ePtuqGV5bX4Ep3iz755BNuvvlmlixZwnvvvYeXlxcPPvggU6dOpV+/fiUeGxMTwxtvvMFnn33Gu+++i6+vLyNHjmTy5Mk4OztXubtTKqZEREREpNq5tLvdlRw6dOian69WrVqMGzeOcePGlfqY2rVrM3jwYAYPHnzNz1+Sq70Gzs7OTJs2jWnTplltu9wYqJo1azJp0iQmTZpU5uerjDRmSkQqDKPRWOJ0qiUJDAw0r3VhNBpxdHTE09OTtm3bEhkZSUxMDPn5+Vc8x5kzZ5g5cyZdu3bFy8sLJycn/Pz8CAsLIyYm5orHxsbG0rdvX/z9/XFycsLDw4MWLVowaNAg5s6dW+prFhERkcqrTHemxo4di5+fH926dSM4OLjElZJFRG6E4q4JTz/9NO7u7hQWFpr7r3/99ddER0fTrFkzoqOjCQ4Otjp+z5499OnTh8TERAIDAxkwYAD169c3919fuXIloaGhLF26lLqXLIry2muvMWnSJBwcHOjduzctWrSgRo0axMfHs3HjRpYtW8bo0aP1HnmDKDeJiIi9lKmYevrpp+nevTsHDhwgJiaGadOm4ezsTEFBAXv27MHV1ZUmTZpcr1hFRKyMGzeOxo0bW7SdPn2ayZMnM2fOHHr16sWWLVto3ry5eXtaWhqhoaGkpaUxceJEpk6davEBPCMjg4iICNauXcvgwYNZu3ateVtSUhIvvfQSdevWZfPmzbRu3doqptjYWH2gv4GUm0REihbMnTlzZqnGJI0YMcIqd4ptylRMzZ49mx07dphXdQY4cOAA999/v7kvaceOHfn000+vuCiZiMj15ObmxqxZs8jIyCAqKooJEyawfPly8/aJEyeSmppKREREif3A3d3diYmJoW3btsTGxrJ48WLCw8MB2Lp1KwUFBXTr1q3EQgogNDS0zDFnZGTg5+eHv78/Bw8eLHGfPn36sGrVKnbs2EFQUFCZn6OqUm4SESnKI6+88kqpiqlu3bqpmConZfrqtLCw0CJZAUyePJm//vqLmJgY0tLSGDduHIMGDSqXgXoiItdiypQpAKxcuZLs7GygaGHEhQsXYjAYrjiVrIuLC88++ywmk4n58+eb2+vXrw8ULWZYnoskuru7Ex4eTkJCAuvXr7fafuTIEdauXUtwcLAKqUsoN4mIQEBAAIWFhRQUFFz10aVLF3uHW2WUuZi6WEFBAWvWrKFnz5707dsXT09PBg0axMKFC3nppZfKNVARkbJq0qQJDRs2pKCggLi4OAB27NhBXl4efn5+V71LUXyHacuWLebCqVOnTgQEBPD7778TEhLCp59+yt69e63eH23x5JNPYjKZmDdvntW2jz76iMLCQh5//PFrfp6qRrlJRETspUzFlIODA3/88Yf5782bN5OdnU337t0t9mvTpk35RCciV/bOO9Chg3V7y5Zw0d0UABYtgoYNrfft3h2mTrVs27ChaN+jRy3bzxcklYm/vz8Ax48fB+Do+Wtq1KjRVY8t3ufs2bOcOHECKLpjtWLFCtq1a8emTZsYOXIkbdq0wc3NjZCQEN5//33Onj1rU6zt27enQ4cOfPPNNxw7dszcXlhYyCeffIKbmxtDhgyx6dxVmXKTiIjYS5mKqcmTJzN8+HDefvttYmJiGD16NDVq1ODBBx+02rcqziMvUuFkZUFqqnV7Sgqc79ZmlpMDycnW+6alQWamZVteXtG+l/5/bGORYE/Fd5TKc5HANm3aEBcXx/bt25kxYwbh4eF4e3vz008/MXr0aDp27Ejmpa9pKT355JPk5+fzySefmNtWrVrFkSNHGDZsmM0LM1Zlyk0iImIvZSqmPD09Wb16Nbt372bUqFFkZGTwySefWM2S9PfffythidwIdeqAj491u58fuLpatrm4wPm7NBa8veGSqb9xcira99I1nxwdry1eO0hJSQEwj6nxOf96/fXXX1c9tngfR0dH81ipiwUFBfHss8+ycOFCEhIS2Lp1K61ateK3335j6qV3+0ppyJAh1KtXjw8//NDcNn/+fAwGA6NGjbLpnFWdcpOIiNhLmWbzA/D29iYqKsqqPS8vj59//plz584xZ84cXn/99XIJUESu4Jlnih6X+t//rNsiIooel/rhB+u2kBA4csS6vX37ModoT/Hx8Rw5cgQHBwfan489ODgYJycnUlJS2L9//xXHTcXGxgJw5513lurOVocOHZg7dy49evTgh5Je11JwdnbmkUceYdasWaxbt47WrVuzdu1aOnXqxK233mrTOasD5SYREbGHclsIxdHRkXPnzrFhwwZOnjzJ3Llzy+vUIiI2Kb47FBYWRu3atYGiYiUiIgKTycT06dMve2xubi7vvPNOme8Iubm5AVzTTH9PPPEEAPPmzePjjz/WxBPXQLlJRESupzLfmYKiDxmbN28mPT0dHx8fOnbsiLOzM6GhoebZr3Jzc8s1UBGR0jp9+jQTJ04kOjoaDw8Pq7sR06dPZ/Xq1SxatIibbrqJl156iRoXdWk8deoUDz/8MPHx8fTs2dNi0oft27ezd+9eBg8ejLOzs8V5z507xxtvvIHBYKBr1642x9+0aVPuvfdeVqxYwc8//4y7uzuDBw+2+XzVhXKTiIjcaGUuphYsWMAzzzzDqVOngKJB3bVr1yYyMpIpU6bQoEEDAKsPGSIipTVixIjLbnv//fct3l9mzpyJu7s7JpOJrKws9u/fz8aNG8nJyaFly5ZER0fTtGlTi3P4+voSGxtLWFgYr776KtHR0fTu3RsPDw+SkpJYtWoVGRkZ9OzZk6VLl1ocm5KSwogRIxgzZgx33303rVu3xtnZmaNHj7J27VrS0tJo1qzZFdewKo0nn3yS77//nmPHjjF27FicnJyu6XxVnXKTiIjYQ5mKqZUrV/LWW2/x/vvvc9ttt5GXl8eePXtYu3YtUVFRfPnllyxZsoSQkJDrFK6IVGXF45JKGvtSvH327NkWH4jnzJkDQM2aNXFzc8Pf359+/frx0EMP0adPH2rWLPltrk2bNuzZs4d58+axfPlyli5dSnZ2Nh4eHnTu3Jnhw4fTv39/q+N69OjB4sWLWbduHXFxccTFxZGRkUGdOnVo2bIl48ePZ/To0dc8615YWBienp6cOHFCE09chXKTiIjYS5mKqQULFrBp0ybqXjTzV9u2bQkPD2fOnDm89tprhIWFsXr1au6+++5yD1ZEqrayzLR26NCha36+WrVqMW7cOMaNG1fqY2rXrs3gwYOve7e7w4cPc+LECe655x5atWp1XZ+rslNuEhGpuF5++WVeeeUVNmzYQJcuXUp1TEhICBs3brRalL0iKtMEFI0bN7ZIVherW7cub775JitXruSxxx4j+9I1bkREpNRmzJgBwJgxY+wcScWn3CQitjAajRbjZa8kMDAQo9Fofjg6OuLp6Unbtm2JjIwkJiaG/Pz8K57jzJkzzJw5k65du+Ll5YWTkxN+fn6EhYURExNzxWNjY2Pp27cv/v7+ODk54eHhQYsWLRg0aFCFn1jHYDCUea1HW46xlzLdmSrNf3BdunThzTffZPbs2UycONHmwEREqpu//vqLhQsXcvDgQT777DPatWvHgAED7B1WhafcJCLXW/GH+6effhp3d3cKCwvN43S//vproqOjadasGdHR0QQHB1sdv2fPHvr06UNiYiKBgYEMGDCA+vXrm8fprly5ktDQUJYuXWr15dBrr73GpEmTcHBwoHfv3rRo0YIaNWoQHx/Pxo0bWbZsGaNHj8ZoLLdJusvVU089RXh4OI0bN7Z3KNdFmYqpY8eOUVBQcNXEVdydQkSkOsvMzGTmzJml+nZtxIgRHDp0iBdffJHatWvTq1cv3nvvvRsQZeWn3BMwcMAAACAASURBVCQiN8q4ceOsioLTp08zefJk5syZQ69evdiyZQvNmzc3b09LSyM0NJS0tDQmTpzI1KlTLQqfjIwMIiIiWLt2LYMHD2bt2rXmbUlJSbz00kvUrVuXzZs307p1a6uYYmNjK2whBeDh4YGHh4e9w7huyvTK9+rVi9dee61U+9arV8+mgEREqoqMjAxeeeWVUj0SExPp2rUrhYWFnD59mtWrVxMYGGjvS6gUlJtExJ7c3NyYNWsWkZGRZGRkMGHCBIvtEydOJDU1lfDwcKZNm2ZV+Li7uxMTE0OTJk2IjY1l8eLF5m1bt26loKCAbt26lVhIAealH2y1cOFCgoKCcHFxwdvbm8jISI4ePUpISIhVrAsWLMBoNF52oiij0Uj37t0t2l5++WWMRiMbN2602v+LL76gffv2Vs99Jd999x33338/Xl5eODs707RpU1544QUyMzPLeOXlo0zFVHh4OBs3bmTWrFlX3ffYsWM2ByUiUhUEBARQWFhIQUHBVR+lHZQr1pSbRKQimDJlClA0w2jx+Mzc3FwWLlyIwWC44pIZLi4uPPvss5hMJubPn29ur1+/PvD/2bvz+Jru/PHjr3uz75GFLEgoTWgaxL7EVlrTwSimqWhFaM30x9jaqpYiSmnVXmpMW5UG5Ytqqai0RVApSbSMGtVYgiyEJBIkkeT8/jjNbc69kWYjwvv5eOQxk/fZPvf2yjnv+/l83h84c+ZMtRaDv5P33nuPF154geTkZMLDwxk1ahS//PILXbt2JTs7u8yRFTU1/2nx4sWEhoZy7tw5Ro4cyahRo/jvf/9Lly5dDMtcGIuIiOAvf/kLR44coX///kyYMIHmzZvz/vvv061bt1qZF1vpPsGNGzeyatUqevbsyffff1/mPl999RU5OTnVbpwQQghREXJvEkLUtqZNm9KwYUOKiopISEgAID4+nvz8fLy8vPDz8yv3+JIepri4OEPi1KlTJ3x8fDh+/Dg9e/ZkzZo1/PLLLzVS5e7s2bNMnz6d+vXrc+zYMVasWMG8efOIj4+nU6dO/Pzzz9W+xp2cP3+eqVOn4uLiwk8//cTKlSuZN28eiYmJtG3blmPHjpkcs2fPHiIiIujatStnzpxhzZo1vPvuu0RHR/Ppp59y4sQJZs6cedfafCeVTqZcXFw4dOgQjo6O9OnTBy8vL0JCQnjjjTd45ZVX6NGjB88//zyzZs26C80VQgghTMm9SYh7YNEiaNfONO7vD6V6UwBYvx4aNjTdt3dviIjQxvbuVfc1Ht71e0JSl3h7ewNw5coVAMOQtUaNGv3psSX7FBQUcPXqVUDtsdq+fTutW7fmwIEDjB49moCAABwcHOjZsycffvghBQUFVWrrunXrKCoq4l//+hdeXl6abfPnz69wpcOqiIqKorCwkPHjx5u8NwsWLChzDtiyZcvQ6XSsXr0aBwcHzbYRI0bQunVr1q1bd9fafCeVKkBRol69enz11Vds3ryZDz74gC+++ILCwkL0ej29evXiwIEDdxzXKYQQQtwNcm8S4i67fh3S0kzjKSlgPLzq5k24dMl03/R0MJ7bkp+v7mu81mAVk4TaVNKjVJNlvQMCAkhISCAxMZE9e/aQmJjIoUOH2L9/P7GxsaxevZq9e/fecYmIO/npp58A6Nq1q8m2xo0b06hRI86fP18jr8HY0aNHAcoc4t6kSRMaNWpEcnKyJh4XF4eFhQWbNm0q85wFBQVcuXKFzMzMezo/tkrJVImhQ4cydOhQCgoKyMjIwNXVFSsrq5pqmxBCCFFpcm8S4i5xdAQPD9O4lxfY22tjtrbwey+NRoMGYPzQb2Wl7mvcE2JpWb321oKUlBQA3N3dAfD4/f26cOHCnx5bso+lpaVhrlRpQUFBBAUFGX6Pj48nLCyMY8eOERERwaJFiyrV1pKCDQ0aNChze4MGDe5aMvVn1/bw8DBJpq5evUpRURGzZ8++43l1Oh25ubn3fzKVl5fHwYMHycjIoEGDBrRv396ke1AIIYS4l+TeJMRdNnmy+mPsf/8zjYWGqj/GyprT2LMnXLxoGm/bttJNrE1JSUlcvHgRCwsL2v7e9vbt22NlZUVKSgqnTp0qd95UTEwMAJ07d65Qz1a7du1Yvnw5ffr0ueNc0fI4OjoCaun2Fi1amGxPT083ien1ehRFobCw0GRbZarplfSi3enaaWX0gDo5OaEoChkZGRW+zr1Q6TlTy5Yto379+vTt25dhw4bxxBNP4ObmxvDhwzl9+vTdaKMQQghRLrk3CSFqW8Tvc8EGDhyInZ0dANbW1oSGhqIoCnPmzLnjsXl5eSxatAidTseYMWMqfM2SuUNVqfTXpk0bFEXhwIEDJtuSk5PL7E0r6fEpa9uRI0cqfO2goCAURWHfvn0m286ePVvm+Tt16kRmZiYnT56s8HXuhUolU5988glLly5l+fLlHD9+nOPHj7NlyxZGjhzJd999R+vWrfnoo4/uVluFEEIIE3JvEkLUppycHMaPH09UVBQuLi7MmzdPs33OnDk0aNCA9evXM2PGDIqM5oZlZmYyZMgQkpKS6Nu3L88995xh25EjR1i7di15eXkm1y0sLGT+/PnodDp69OhR6XaHhoZibm7O8uXLuWjUMzh16lSTdoLaG6bX61m/fj23bt0yxK9du8brr79e4bliw4cPx8LCguXLl2uGEiqKwquvvlpmtcJJkyahKAovvfRSmWtR3bx5kx9//LFC169JlRrm9+GHH/Ldd99pFpJ87LHHGDRoECtWrGDLli289tprFBYW8s9//rOm2yqEEEKYkHuTEKI6wsPD77jtww8/xNra2vD74sWLcXZ2RlEUrl+/zqlTp4iNjeXmzZv4+/sTFRVFs2bNNOfw9PQkJiaGgQMHMnfuXKKioujXrx8uLi4kJyfz9ddfk5WVxZNPPmlSXCElJYXw8HDGjRtHt27daNmyJdbW1qSmprJr1y7S09Np3rx5uWtY3UnTpk2ZPXs206ZNo1WrVoSEhODk5ERMTAyZmZm0atWK48ePa47x8PBg+PDhREVF0bp1a/76179y/fp1du7cSY8ePQyFJf6Mj48P8+fP59VXX6VNmzaGa3/zzTdkZ2cTGBhocu3evXvz7rvv8sYbb9C8eXOefvppmjRpQm5uLufPn2ffvn0EBwezc+fOSr8X1aJUwlNPPfWn+1y5ckVp1aqV8ssvv1Tm1LUuISFBAZSEhITabop4yMhnTzyoKvrZru6/Abk3CVFx8pn6g16vL/fHzMxMyc7OVhRFUXx9fTXbLC0tFVdXVyUwMFAZMWKEsnXrVuX27dvlXu/mzZvK4sWLleDgYMXV1VWxsrJSPD09lQEDBiibN28u85jc3Fzl888/V0aNGqW0atVKcXd3VywsLBRXV1ela9euynvvvafcuHGjWu9DVFSUEhQUpNjY2Cj169dXRowYoaSmpioBAQFKvXr1TPYvKChQpkyZojRq1EixsrJSmjdvrrz77rtKYWGhotfrld69e2v2nzVrlqLX65V9+/aZnOvzzz9X2rZta3Ltnj17KmZmZmW29+DBg0pISIji7e2tWFlZKfXr11fatGmjvPrqqxX6XNf0valSPVMllUnK4+bmxkcffcSCBQv45JNPKp3cCSGEEJUh9yYhRFWUNYztTs6ePVvt69nY2DBx4kQmTpxY4WPs7OwICQkhJCSk2te/k+HDhzN8+HBNLCcnh6SkJNq0aWOyv4WFBe+++y7vvvuuybay3tOZM2fecTHdO722PXv23LG9Xbp0oUuXLnfcfq9Vas5URcdBtmvX7r6rtCGEuP/p9foKLxLo6+uLXq83/FhaWuLm5kZgYCAjRoxg8+bN3L59u9xz3Lp1i8WLF9OjRw/c3d2xsrLCy8uLgQMHsnnz5nKPjYmJ4ZlnnsHb2xsrKytcXFzw8/Pj2WefZfny5RV+zaL65N4khBBVk5GRYVKZr6ioiMmTJ5Ofn8/gwYNrqWV1R6V6pn7++WcOHz5M27Zt//SBx3hlYiGEqEk6nQ6dTseECRNwdnamuLjYMH5927ZtREVF0bx5c6Kiomjfvr3J8SdOnGDAgAGcO3cOX19fhg4diqurq2H8+o4dO+jbty+bNm0yWQjxnXfeYfr06VhYWNCvXz/8/PwwMzMjKSmJ2NhYtmzZwtixY8tcwV3UPLk3CSFE1WzZsoUZM2bQp08fGjVqxLVr14iNjeXXX38lKCiIcePG1XYT73uVSqaOHz9O586dsbGxoVOnTgQHBxMcHGyIlSYPEUKIe2HixIk0btxYE8vJyeGtt95i2bJlPPXUU8TFxfHoo48atqenp9O3b1/S09OZNm0aERERmr9ZWVlZhIaGsmvXLkJCQti1a5dhW3JyMjNnzsTJyYmDBw/SsmVLkzbFxMTI38B7SO5NQgihrvO0ePHiCvXWh4eH07hxYzp27EhwcDD79+/n6tWrADRp0oS33nqLKVOmyILnFVCpZOqJJ55g/vz5xMbGcuDAAVauXElERAQWFha0bt2a4OBgunfvTteuXatU714IIWqCg4MDS5YsISsri8jISKZOncrWrVsN26dNm0ZaWhqhoaG8/fbbJsc7OzuzefNmAgMDiYmJYcOGDQwbNgyAH3/8kaKiInr16lVmIgXQt2/fKrW7V69eZa65UaJnz55VWpjxQSf3JiGEUL8InD17doWSqV69etG4cWNat279p8PaRfkq9RXd888/T9u2bZk0aRJbtmwhPT2dkydPsmLFClq0aMEXX3zBoEGDqF+/vklpx8q4ceMGM2fO5C9/+Quurq7o9XoiIyMrfHx2djZjxoyhfv362Nvb07t37wqXahRCPDhmzJgBwI4dO8jNzQXUhRHXrVuHTqcrt5Ssra0tr7zyCoqisHr1akPc1dUVgDNnztT4g3l4eDizZs0y+enduzeAYRFIoSX3JiGEUMuNFxcXU1RU9Kc/3bt3r+3mPjAq1TMVFhZmEvPz88PPz48XX3wRUOvh79u3jylTplS5URkZGbz99tv4+PjQunVr9u7dW+FjFUXh6aef5vjx40yZMgVXV1dWrlxJz549SUxM5JFHHqlyu4QQdUvTpk1p2LAhly5dIiEhgR49ehAfH09+fj7e3t74+fmVe3xJD1NcXByKoqDT6ejUqRM+Pj4cP36cnj17MnLkSDp27Ii/v3+1h5CNGDHCJHb8+HEWLlxI/fr1WbZsWbXO/6CSe5MQQojaUuODx728vBg2bFi1ShZ6eXmRlpbG2bNnee+99yr17e///d//cejQIdauXcv06dN5+eWX2bNnD2ZmZncsyyhEXXVh0QXi28WbxH/0/5GU1SmaWPr6dH5o+IPJvj/1/olzEec0scy9mfzQ8AfyU/M18ZyEnOo3+h7z9vYG4MqVKwCGVdMbNWr0p8eW7FNQUGAYS25ra8v27dtp3bo1Bw4cYPTo0QQEBODg4EDPnj358MMPKSgoqJG2p6Sk8PTTT1NYWMiXX35JkyZNauS8DyO5NwkhhLgb7tpM3OnTp1f5WAsLC+rXr1+lY7ds2YKHhwfPPPOMIebm5sazzz7Ll19++aelkoWoSwqvF1KQZvrgXpBSQFGudq2HoptFFFwqY9/0AgqztWVRlXyFgksFKEXah8XiguIaaPW9VfLAW9Hy2RUREBBAQkICR44cYcGCBQwbNowGDRqwf/9+xo4dS8eOHcnOzq7WNW7cuEH//v1JTU1l7dq1dOzYsYZa/3CTe5MQQoiaVGPJ1J49e1ixYgVpaWkAPP744zV16ko5evQoQUFBJvEOHTpw8+ZNfv3111polRB3h7mjOZYeliZxSy9LzOy1JaLNbM2w9C5j3waWmDtpR/zqrHRYeluiM9MmIHrLulcJLSVF7aErWdjVw8MDgAsXLvzpsSX7WFpaGuZKlRYUFMQrr7zCunXrOHPmDD/++CMtWrTg2LFjREREVLnNxcXFPPvss/z888/MmzePoUOHVvlcDzu5NwkhhLibauzJqFevXvTv35/Zs2fTt29fPv3005o6daWkpqbi6elpEi+JlTxYCfEgaDS5Ee3i25nEO/6vI15jvDSxBqEN6HLRdIhT6+9b4zvTVxOr17MeXS52wcpTWxLVoW3dWqMnKSmJixcvYm5uTtu2bQFo3749VlZWpKSkcOrUqXKPj4mJAaBz584V6tlq164dy5cvR1GUalXdGzduHNHR0YwZM4bXXnutyucRcm8SQghxd1UqmVqzZk252318fFi5ciVPPfUUo0ePrlbDqurWrVtl1sS3trZGURRu3bpVC60SQtSGkt6hgQMHGirhWVtbExoaiqIozJkz547H5uXlsWjRInQ6HWPGjKnwNUsWha1qpb+FCxeyatUq+vXrx4oVK6p0joeN3JuEEELUlkolU6UXrizP5MmTadiwYZUaVF02Njbk5+ebxPPy8tDpdCYLOAohHjw5OTmMHz+eqKgoXFxcmDdvnmb7nDlzaNCgAevXr2fGjBkUFWnnl2VmZjJkyBCSkpLo27cvzz33nGHbkSNHWLt2LXl5eSbXLSwsZP78+eh0Onr06FHpdm/dupXXX3+dVq1asWnTJllgtoLk3iSEEKK2VKo0+uHDhzl48CAdOnTAwsLijvvp9foyx4bfC56enoZqXaWVxLy8vEy2lTZp0iScnJw0sWHDhhkW7BRC3H3h4eF33Pbhhx9ibW1t+H3x4sU4OzujKArXr1/n1KlTxMbGcvPmTfz9/YmKiqJZs2aac3h6ehITE8PAgQOZO3cuUVFR9OvXDxcXF5KTk/n666/JysriySefNFmXKCUlhfDwcMaNG0e3bt1o2bIl1tbWpKamsmvXLtLT02nevHm5a1jdyfPPP4+iKLRt25aFCxeabPf19S2zDHhdsmHDBjZs2KCJVbdYh9ybhBBCVEd17k2VSqbOnz9P9+7dsbKyokOHDgQHBxMcHEyXLl2wt7fX7Gv8+71SUq7YWFxcHLa2tjz66KPlHr948eJau9kK8bArmZd0p4VQdTodS5cu1SRTJWsvmZub4+DggLe3N4MHD2bQoEEMGDAAc/Oy/8wFBARw4sQJ/v3vf7N161Y2bdpEbm4uLi4udO3albCwMIYMGWJyXJ8+fdiwYQO7d+8mISGBhIQEsrKycHR0xN/fn0mTJjF27FhsbW0r/fpLei7uNGytR48edT6ZKisBSExMNMxpqwq5NwkhhKiO6tybKpVM9erVi9mzZxMbG8uBAwf44IMPmDt3LmZmZgQGBhIcHEz37t3p2rUrxcV3v4RyWloa2dnZNGvWDDMztXLZ0KFD2bJlC1u3bmXw4MGAutDi5s2bGThwYLnfWgohapfxcLvynD17ttrXs7GxYeLEiUycOLHCx9jZ2RESEkJISEi1r2+sMq9f/EHuTUII8WAaOXIkkZGRnDt3jsaNG9d2c8pUqWRq+PDhdO3ala5duwLqBOtjx46xf/9+Dhw4wP/93/+xbNkydDodOp2OdevWVblhK1asICsri0uXLgHw1VdfGcoUjx8/HgcHB6ZOnWryBg8dOpQlS5YQHh7OiRMncHNzY+XKlRQXFzNr1qwqt0cIIcT9Se5NQoiq0Ov16HS6Cn2R5evrS3JysuF3c3NzHB0d8fLyonXr1gwcOJC//e1v5X4xcuvWLVatWsW2bdv45ZdfuH79Oq6urrRr144RI0aUuwxGTEwMK1eu5PDhw2RkZGBnZ4e7uzutWrUiODiYf/3rX5V78b/T6/X07NmzWhVoS/P19UWv13PmzJkaOV/J3+37WaWSqVGjRml+1+l0tGrVilatWjFu3DgAzpw5w759+6q1MCLA+++/b/jQ6nQ6vvjiC7744gsAXnjhBRwcHNDpdCYTtPV6PdHR0bz22mssX76cW7du0aFDByIjI2nevHm12iSEEOL+I/cmIcTdVvJQP2HCBJydnSkuLjbM0922bRtRUVE0b96cqKgo2rdvb3L8iRMnGDBgAOfOncPX15ehQ4fi6upqmKe7Y8cO+vbty6ZNm0zmR77zzjtMnz4dCwsL+vXrh5+fH2ZmZiQlJREbG8uWLVsYO3bsfVG06H5PfO6GSiVTFdG0aVOaNm1KdHR0tc5TkSE8a9asKXNugZOTE6tXr2b16tXVaoMQQlRHdnY2ixcvrtDNJTw8/L4dwvAgkHuTEKImTJw40eRvdU5ODm+99RbLli3jqaeeIi4uTjMPMj09nb59+5Kens60adOIiIjQJD5ZWVmEhoaya9cuQkJCNBVKk5OTmTlzJk5OThw8eJCWLVuatCkmJua+SKQeVjWeTJWYOnXq3Tq1EELUCVlZWcyePbtCyVSvXr0kmboH5N4khKhpDg4OLFmyhKysLCIjI5k6dSpbt241bJ82bRppaWmEhoby9ttvmxzv7OzM5s2bCQwMJCYmhg0bNhiKIfz4448UFRXRq1evMhMpgL59+1a6zWvXriU8PBydTsfevXs1ydisWbOYMWOG4fdNmzbxwQcfcOzYMQoKCmjWrBmhoaFMnjwZS0tLAPbt20evXr3Q6XQoiqI538iRI/nkk08A2LZtG1u2bOHw4cOG4dL+/v6EhYUxbty4OtmzddeSKak6JIR42Pn4+NyTggei4uTeJIS4W2bMmEFkZCQ7duwgNzcXe3t78vLyWLduHTqdrtwlM2xtbXnllVcYO3Ysq1evNiRTrq6ugDpUWVGUGks22rRpw6xZs5g1axa+vr6MHDnSsK1nz56G///mm28yf/583N3dGT58OPb29kRHR/Pmm2+ye/dudu/ejbm5Ob6+vsyaNcswGmPSpEmGxetbt25tON8bb7yBmZkZnTp1wtvbm+zsbL7//nsmTJhAfHw8a9eurZHXdy/dtWRKCCGEEEKIh0XTpk1p2LAhly5dIiEhgR49ehAfH09+fj7e3t74+fmVe3xJD1NcXJwhcerUqRM+Pj4cP36cnj17MnLkSDp27Ii/v3+1hvYFBgYSGBhoSKZK90SViIuLY/78+fj4+HD48GHc3d0BmDdvHoMGDeLrr7/m/fffZ+rUqfj4+DBjxgzWrFlTbuK4c+dOmjRpYhIfOXIkn332GePGjStzztn9TJIpIYQQQghRrnbt2pGWlnbPr+vh4UF8fPw9v25VeXt7c+nSJa5cuQL8sTB3o0aN/vTYkn0KCgq4evUqbm5u2Nrasn37dsLCwjhw4AD79+8H1KU92rdvT0hICKNHjzYMt6tJH3/8MTqdjunTpxsSKVAL6ixcuJCdO3fy0UcfVWr4dFmJFKjVUCMjI/nmm28kmRJCCCGEEA+WtLQ0wxwXcWclQ9tqcu5PQEAACQkJJCYmsmfPHhITEzl06BD79+8nNjaW1atXs3fvXpMqgNV19OhRQJ3Ta6x58+Y0bNiQs2fPkpOTg4ODQ4XOee3aNd577z2io6M5c+YMN27cMGzT6XR18jMmyZQQQgghhCiXh4fHQ3XdqkpJSQEw9OSUtL9kPbrylOxjaWlpmCtVWlBQkGbeZ3x8PGFhYRw7doyIiAgWLVpU7faXlp2dDYCnp2eZ2z09Pblw4QJZWVkVSqays7Np164d58+fp0OHDoSFheHi4oK5uTlZWVksWbKE/Pz8Gn0N94IkU0IIIYQQolx1aahdbUlKSuLixYtYWFjQtm1bANq3b4+VlRUpKSmcOnWq3HlTMTExAHTu3LlCPVvt2rVj+fLl9OnTp8YW3S2tpKcrLS2tzOF5JUMYK9oj9p///Idz584RERFhMqcqLi6OJUuWVLPFtUOK0gshhBBCCFFNERERAAwcOBA7OzsArK2tCQ0NRVEU5syZc8dj8/LyWLRoETqdjjFjxlT4miU9QiXDCytLr9dTVFRU5rY2bdoAsHfvXpNtJYljkyZNcHR0NMTNzMzueL6kpCR0Oh2DBw822VbWNeoKSaaEEEIIIYSoopycHMaPH09UVBQuLi7MmzdPs33OnDk0aNCA9evXM2PGDJNkIzMzkyFDhpCUlETfvn157rnnDNuOHDnC2rVrycvLM7luYWEh8+fPR6fT0aNHjyq13dXV9Y5DEEeNGmVIAjMyMgzx4uJiXnnlFRRF4cUXXzQ535UrV8ocrufr64uiKCaJ09GjRw2voy6SYX5CCCGEEOKhFR4efsdtH374IdbW1obfFy9ejLOzM4qicP36dU6dOkVsbCw3b97E39+fqKgomjVrpjmHp6cnMTExDBw4kLlz5xIVFUW/fv1wcXEhOTmZr7/+mqysLJ588kk2bdqkOTYlJYXw8HDGjRtHt27daNmyJdbW1qSmprJr1y7S09Np3rx5uWtYleeJJ55g48aNDBw4kKCgICwsLOjevTvBwcF07tyZKVOmsGDBAgICAhg6dCh2dnZER0dz4sQJgoODefXVV03OFx8fz1NPPUX37t2xsrKiVatW9O/fnxEjRrBgwQImTJjA999/T/PmzTl9+jQ7duxgyJAhfP7551V6DbVNkikhhBBCCPHQKekJiYyMvOP2pUuXapKpZcuWAWBubo6DgwPe3t4MHjyYQYMGMWDAAMzNy360DggI4MSJE/z73/9m69atbNq0idzcXFxcXOjatSthYWEMGTLE5Lg+ffqwYcMGdu/eTUJCAgkJCWRlZeHo6Ii/vz+TJk1i7Nix2NraVuk9WLp0KXq9nu+++47o6GiKi4uZOXMmwcHBAMyfP5+goCA++OADPvvsM27fvs0jjzzC3LlzmTx5ssnrnT59OtnZ2Wzfvp0ffviBoqIiwsLC6N+/P56enhw4cICpU6dy8OBBdu/ejb+/P6tWraJ3795s3LixzN6p+73HSpIpIYQQFTZy5EgiIyM5d+4cjRs3ru3mCCFEld1pbk9Zzp49W+3r2djYMHHiRCZOnFjhY+zs7AgJCSEkJKTa1y+Lu7s7UVFR5e7z7LPP8uyzz1bofLa2tqxYsYIVK1aUud3f359t27aVua2s/x5r1qxhzZo1Fbp2bZE5U0KIl+V3xgAAIABJREFU+4Zer8fMzKxC+/r6+qLX6w0/lpaWuLm5ERgYyIgRI9i8eTO3b98u9xy3bt1i8eLF9OjRA3d3d6ysrPDy8mLgwIFs3ry53GNjYmJ45pln8Pb2xsrKChcXF/z8/Hj22WdZvnx5hV+zMb1eT+/evat8vDFfX1+aNm1aY+fT6XT3/beEQgghxL0iPVNCiDqp5KF+woQJODs7U1xcbBi/vm3bNqKiomjevDlRUVFlrqZ+4sQJBgwYwLlz5/D19WXo0KG4uroaxq/v2LGDvn37smnTJpOyr++88w7Tp0/HwsKCfv364efnh5mZGUlJScTGxrJlyxbGjh2LXl/731dJ4iOEEELcPZJMCSHqtIkTJ5oMN8vJyeGtt95i2bJlPPXUU8TFxfHoo48atqenp9O3b1/S09OZNm0aERERmsQnKyuL0NBQdu3aRUhICLt27TJsS05OZubMmTg5OXHw4EFatmxp0qaYmJj7IpESQgjx8MjOzmbx4sUV+hItPDxchmrXEEmmhBAPHAcHB5YsWUJWVhaRkZFMnTqVrVu3GrZPmzaNtLQ0QkNDefvtt02Od3Z2ZvPmzQQGBhITE8OGDRsYNmwYAD/++CNFRUX06tWrzEQKoG/fvpVu89q1awkPD0en07F3715NMjZr1ixmzJhh+H3Tpk188MEHHDt2jIKCApo1a0ZoaCiTJ0/G0tISgH379tGrVy90Oh2KomjON3LkSD755BMAtm3bxpYtWzh8+DCXLl0C1DHtYWFhjBs3Tnq2hBCijsjKymL27NkV+rvdq1cvSaZqiCRTQogH1owZM4iMjGTHjh3k5uZib29PXl4e69atQ6fTlVtK1tbWlldeeYWxY8eyevVqQzLl6uoKwJkzZ1AUpcaSjTZt2jBr1ixmzZqFr68vI0eONGzr2bOn4f+/+eabzJ8/H3d3d4YPH469vT3R0dG8+eab7N69m927d2Nubo6vry+zZs0yfEs5adIkw6KOrVu3NpzvjTfewMzMjE6dOuHt7U12djbff/89EyZMID4+nrVr19bI6xNCCHF3+fj4UFxcXNvNeOhIMiWEeGA1bdqUhg0bcunSJRISEujRowfx8fHk5+fj7e2Nn59fuceX9DDFxcUZEqdOnTrh4+PD8ePH6dmzJyNHjqRjx474+/tXa2hfYGAggYGBhmSqdE9Uibi4OObPn4+Pjw+HDx/G3d0dgHnz5jFo0CC+/vpr3n//faZOnYqPjw8zZsxgzZo15SaOO3fupEmTJibxkSNH8tlnnzFu3Lgy55wJIYQQQpIpIeqsdu3akZaWds+v6+HhQXx8/D2/blV5e3tz6dIlrly5AkBqaioAjRo1+tNjS/YpKCjg6tWruLm5YWtry/bt2wkLC+PAgQPs378fUEvetm/fnpCQEEaPHm0YbleTPv74Y3Q6HdOnTzckUqBWAFy4cCE7d+7ko48+YurUqRU+Z1mJFMD48eOJjIzkm2++kWRKCCGEuANJpoSoo9LS0gxzXMSdlQxtq8m5PwEBASQkJJCYmMiePXtITEzk0KFD7N+/n9jYWFavXs3evXtNqgBW19GjRwF1rLux5s2b07BhQ86ePUtOTg4ODg4VOue1a9d47733iI6O5syZM9y4ccOwTafTyWdMCCGEKIckU0LUUR4eHg/VdasqJSUFwNCTU9L+Cxcu/OmxJftYWloa5kqVFhQURFBQkOH3+Ph4wsLCOHbsGBERESxatKja7S8tOzsbAE9PzzK3e3p6cuHCBbKysiqUTGVnZ9OuXTvOnz9Phw4dCAsLw8XFBXNzc7KysliyZAn5+fk1+hqEEEKIB4kkU0LUUXVpqF1tSUpK4uLFi1hYWNC2bVsA2rdvj5WVFSkpKZw6darceVMxMTEAdO7cuUI9W+3atWP58uX06dOH77//vmZeRCklPV1paWllDs8rGcJY0R6x//znP5w7d46IiAiTOVVxcXEsWbKkmi0WQgghHmyyEIoQ4oEVEREBwMCBA7GzswPA2tqa0NBQFEVhzpw5dzw2Ly+PRYsWodPpGDNmTIWvWdIjVDK8sLL0ej1FRUVlbmvTpg0Ae/fuNdlWkjg2adIER0dHQ9zMzOyO50tKSkKn0zF48GCTbWVdQwghhBBa0jNVx127Bra2YG1d2y0R4v6Rk5PDtGnTiIqKwsXFhXnz5mm2z5kzh507d7J+/XqaNGnCzJkzMTMzM2zPzMzk+eefJykpiSeffJLnnnvOsO3IkSP88ssvhISEYG30D6+wsJD58+ej0+no0aNHldru6up6xyGIo0aN4uOPP2bOnDkMGDAANzc3AIqLi3nllVdQFIUXX3zR5HzHjx8nPz8fKysrzTZfX18URWHv3r089thjhvjRo0cNr0MI8WA6efJkbTdBiFpR0599SabquNdfh4QE9Ueee8SDIjw8/I7bPvzwQ00Ss3jxYpydnVEUhevXr3Pq1CliY2O5efMm/v7+REVF0axZM805PD09iYmJYeDAgcydO5eoqCj69euHi4sLycnJfP3112RlZfHkk0+yadMmzbEpKSmEh4czbtw4unXrRsuWLbG2tiY1NZVdu3aRnp5O8+bNy13DqjxPPPEEGzduZODAgQQFBWFhYUH37t0JDg6mc+fOTJkyhQULFhAQEMDQoUOxs7MjOjqaEydOEBwczKuvvmpyvvj4eJ566im6d++OlZUVrVq1on///owYMYIFCxYwYcIEvv/+e5o3b87p06fZsWMHQ4YM4fPPP6/SaxBC3L9KqpI+//zztd0UIWqNra2t4QvJ6pJkqg47dw4+/RTmz5dESjwYSnpCIiMj77h96dKlmmRq2bJlAJibm+Pg4IC3tzeDBw9m0KBBDBgwAHPzsv/MBQQEcOLECf7973+zdetWNm3aRG5uLi4uLnTt2pWwsDCGDBliclyfPn3YsGEDu3fvJiEhgYSEBLKysnB0dMTf359JkyYxduxYbG1tq/QeLF26FL1ez3fffUd0dDTFxcXMnDmT4OBgAObPn09QUBAffPABn332Gbdv3+aRRx5h7ty5TJ482eT1Tp8+nezsbLZv384PP/xAUVERYWFh9O/fH09PTw4cOMDUqVM5ePAgu3fvxt/fn1WrVtG7d282btxYZu+U9FgJUXc1btyYkydPkpGRUdtNEaLWuLm50bhx4xo5l06p6sD+B0xiYiJt27YlISFBU53rfpaUBG+/DStWwO/TQQBYvx5SU2HyZEmy6oK6+NkToiIq+tmWfwN3Ju+NEELUjor+/ZWeqTrskUfUnqnSbt+GN9+ETp0kkRJCCCGEEOJukmp+D5j9++HiRZg+XRu/eBF+X6JGCCGEEEIIUQOkZ+oB07s3nD8P3t7a+L/+BZcuweHDtdMuIR5G2dnZLF68uEJzjMLDw2ts/LYQQggh7g1Jph5AxonUzz/Dtm2wZk3ttEeIh1VWVhazZ8+uUDLVq1cvSaaEEEKIOkaSqYdAvXrw6qswfLg2vnQpZGXBzJm10y4hHnQ+Pj4UFxfXdjOEEEIIcZfInKmHQOPGsGABWFj8EcvJgdmz4fLl2muXEEIIIYQQdZkkUw+pQ4egoEBd9Le0kychLa122iSEEEIIIURdIsP8HlJPPqkWpHB0/COmKPDSS2BmBvv21V7bhBBCCCGEqAskmarj0tamUXC5gMavVX7ieulECmDvXjh4ELZv18YzMsDZGczl0yKEEEIIIYSBDPOrwxRFIXl+MrmJuTVyvhYt4L334K9/1cbHj4c+fWrkEkIIIYQQQjwwJJmqw26cuMHNUzfxfNFTE8/an0XS1CSK8ooqdT4PD3jtNShdxfnGDfjyS3VYYGlXrsB//1vVlgshhBBCCFH3ycCtOsw+wJ5OZzth1chKE7+04hI3jt2g6bym1b5GZqbaUzVsmDa+Zo1aUv3KFbC3r/ZlBHDy5MnaboIQNUo+00IIIR50kkzVcdY+1prfi24UcXXHVZrMbqJZKDQ/NZ/kd5Lxme6DZQPLCp+/YUPYtMk0vn49DByoTaQKC+Gjj+DZZ8HFpdIv5aHl5uaGra0tzz//fG03RYgaZ2tri5ubW203QwghhLgrJJl6wJjZmdEpqRN6a+0IzrRP00j9OBXft32rfY3iYrXq3+OPa+PffQcvvwwdOkgyVRmNGzfm5MmTZGRk1HZThKhxbm5uNG5c+QI5QgghRF0gydQDqKyep8sbLuP+d3csnP9YuVcpUvht8m94/z9vbP1sK3x+vR7GjjWNb9gAjz4Kbdpo47NnQ+/e0K1bhS/x0GncuLE8cAohhBBC1DGSTD0k2uxvQ1GutiDFtV3XuLTsEg1eaFAj13jtNXXB39IFLFJSYNYsdbigJFNCCCGEEOJBItX8HhLmTuZYeWsLVaSvS8eulR0ObR008fPvnCc7LrvS13jsMXjiCW1syxawsIDBg7XxuXNh0aJKX0IIIYQQQoj7hiRTDzG/j/x4bONjmkIVecl5nJ1+lpu/3NTsqyhKla7x8ssQF6cu+luiqAhWrIDLl7X7JifD5s2Ql1elSwkhhBBCCHFPSTL1EDOzNTOZK5W+Lh0zOzPcn3XXxE+NPsXp8acrfQ1zc9M5VL/8AlevQs+e2viXX8Lw4WCct+XkVPqyQgghhBBC3HWSTAmNRq82onVsa8zt/5hOpxQrXN1+FTMHM82+ecl5pEWlUXSrcosDP/64uj5Vr17a+L590LEj2Nj8ESsqgkaN1J4sIYQQQggh7idSgEJo6C30OLTRzqHKT8lHb6vH5UltvfOMLzJImpKE+2BtL5ZSpKAz01EeR0fT2P/7f+paVaX99BNkZ0OrVtr4J5+oPVzvv1/+6xFCCCGEEOJukZ4p8aesG1rT6VwnnLo7aeLXdl/DKdgJM9s/eqyKC4s51OgQaZ+lVfo6vXvDk09qYzdvQnAwtG+vjW/apCZTpeXlqeXZs7IqfWkhhBBCCCEqTZIpUSE6nU5TqALA500ffGf4amI5R3IoSC3AprmNJn41+ipXtl6p9HWDgyE2FqxKFSIsKoIffzSdc3X4MISGwrlz2nhCAly4UOlLCyEqQSlWKL5drIkVXi8k+2A2RTe1Q4EzdmRU6e+BEEIIcb+RZEpUmVNXJ5y7O2tity/fxi7ADod22qGCFxZeIPXjVE2s6EYRBekFlb6umRlcvAj/+Ic2vncv1KsHgYHa+KhRMGeONnb5Mnz7LeTnV/ryQtRpiqKgFGmrvNw6d4uru66a7HvmzTNkfJWhiV379hpHWh+h6IY2QUrsnMjp/6ctUnPjvzc42u0oeWe1JTrTI9NJWZVSnZchhBBC3BckmRI1yu1vbrQ/3h69+R8fraKbRWTvzzaZc3Ut5ho/ePxAfqo2o7l17hZFeeUXtbCzAyftqEOefhqWLgV9qU/17dtw8qRa9KK0b7+Fvn3VYYSlRUer+wtxPyrOL+Z21m1NrOhGEZdWXeLWuVuaeOqnqZx66ZQmpigKsZaxpH6i/WLj6pdXOTHkhMn1Lm+4zPVD17VtuFnMjZ9vmCRTZrZmJj1Qelv1H2NZceOYEEIIURdJMiXuOp2ljsDoQNz/ri1UcePYDSzcLLD0sNTEjz11jDOvn9HEbmfdJu9iXrnrXbVrBy+8oI3l58Prr0OPHtr48ePQsKHak1XamDEQGamNJSWpc7GkF0tUl1KkmHyGM/dmkhWrneh3K+kWx54+xs3T2mz/f6P+x38H/VcTK84v5vTLp8lNzNXE887kcW3XNU1Mp9Oht9FTdN0oEXIwo/hmMcWFxSZx42qdels9OisdxXnafe2D7LF5RDu818rTioaTG2LhbqGJe/8/b5rMboIQQghR10kyJe46vbmeer3rYeVlpYlb+1jjMdJDMxer6GYRt07fwr6VvWbfjK0ZxDWOo/im9gHuxv9ulPsNt709vP22ac/UE0/AW29pY5mZ6vBB432joyEsTNvjBTB3Luzff8dLi4dAwZUCMr/PNEmQzs44S1qUtgjLtZhr7DPfR/5FbVZ+4d0LXFxyURNTihSuRV+jIEU7DNbc2ZzCLG3Jy5IlCwqvG8UdzSjMMSqPCTh1c8LcVVvI1aG9A03eaQLaf160/Lwljac01sRc+rjQI68H1o2t4cYN9R8O0GxhMzVBKi6G+HjIyMCygSXNFjbDxtdG7fL94gsAHDs4Uq+30TcZQgghRB0kyZSoNR5hHjyy4BFNrCiniAbPN8Chg3bOVe6xXGya2WBm90flQEVRONrtKBfe11aXKLhcwK0z2iFPxvr0UXuhStPr1WGC3bpp48ePQ4sWYFHqy/XiYjVJ++kn7b7r18Njj5mWeD96VF1bS9w/FEWhIL3AJOG4fvg6yQuSTfZP7JLIxeXapCczJpOfn/jZJMm/9s01svdla2KGpMcoGTKvZ5ogmdczL3NfhyAHHNtr1xXQW+jx/9Qfp25O6grXv/wCioL3y950Pt9Z3WnnToiLAyBwZyCeIz3ht99g/HjIyMD+cXt83vBBb6lXu3KnTAHArqWd+iXI2bPquNrYWO2b8vrrahnO0goL1fKbO3dq419+CS++iBBCCPEgkWRK3FcsG1jSIrIF9gHanim7x+zwCPPQxApSCyi8WohdoJ0mnhaZxtFuR03O/dvk38jarx1OVVxYbOhVcHJSny0ba7+IZ8QImD1bG7t8WR32Z7zv6dNw7RqYG63g9vTTsHKlNpaQAG+8oZZ0F1VjXEih6FYR6evSyUvWvqmpH6dy8gWjyXAK/OD1A+nr0jXh64evc3b6WZPepttXbpOfrO1VKkl6bmdq5zFZuFhw+5o2ZtnAEoeOv39JkJsLaWrPlUe4B97jvNUylZGRcPo0Fq4WdM3oimt/V9i+3ZCEeI72xO8/fuo5WrQwLLTmEeaBbTNbdd/HHoNbtzCzM8Pc6fcP4syZ6uJspaWnw/Llpll+UhIcO6aNmZvD9eumH1ZLSygwKiJT8q2DcdzKyjQmhBBC1HGSTIk6weslL3ym+WhiSqGCxygPHIK0vVg3jt3Ayls7pLA4v5iLiy9y6zdtj1XKihQOuh40eXBO/TiVnKM5AHTtCn/7m7Y9zs5q9UDjXqz8fPD318by8tTnZuPE64cfYNEi9Xm0tC5dYMECbeyXX+C99+CWUYdbbq7aS1YXFeUVoRRr3/fsH7LJOqBNePNT8jn5wkluntLOHzr10imOdtcmzUqBwsnnT3I9Tls0If9SPtdijOYP6XXqsLlMbe+PRT0LlAKF4lvaN9aqsRXoUBOCpCTIz8fWz5ZGrzdCb6WHbdvUrkng0X8/yqMrH4WUFGjdGn74AZsmNrSNa4v94/Ywfbo61hRw6euiLnyt08HIkbB3Lzq9DgtXC3Xx65JJe8by8gxD7Axsfp+zZFxZxcbG9MNTsm9Z8bJiLVpo1ygACAhQ1y8oTadTv5Vo0UIb79kT5s0zfR1CCCFEHSbJlKizrBtb4/+xvzp3oxTHzo64D9UWuyipGGg8byv/Uj7mLuaaeVuKonB6wmmyvtc+1F/efJkjrY9QfLsYa2u1qIWrK1xYfMFQQOCdd2DPHnWoYfbBbIoLiykogIkToW1bNEnb+fNqglV6LpaiqJ0CZmaaS3P4sDqiyjjeoweMHauN/e9/8M9/mnY4nDkDqdoibn9KKVJMqrYB5CTmkHde20tx68wtLi6/aFLE4PT401xcajQ8bm8m+232mwzHTH4vmeT52iF2ym2F9CjT3iYzezOTRMjMwQz0mMTN66lJk6Io6jyfHDVRdh/ijnUTa3XI27vvws2bOPd05vGvH0dnrlPfyOnTAWj9XWseee8R+PlnaNYMTp7EpqkNj8x/BEt3S9i8Gf79b0D9bFo2sFSTj59/NvRCGTg4GNpgoNerZSqN4w4OanJUZPTfwd9fnRRYWtOmEB5u+kGZPFntYi3Nz08d+ufnp42vWaN+U1Cam5ua0RtXchk1ClatwsTSpeq3EKW1aQPjxpnuK4QQQtRhkkyJB473y940fl3bDWTlaUXbhLY4dtbON7FwtcA5WLtWVtH1IopvFGPpre0yunX6FvkX8tFbaP/ZJM9PJnu/dn5MZkwmR7sdRclXcHSExYvV9a8SOyby69hfATXB2rBBnQ/2U5+fyLuYR24ueHiAt7eapF1adQmAjAxwdATlSj7/e/F/3EpSk5ArV9Tn3NQ1qZx/5zwAp06pz/RFN4r43+j/cT1e7aUZMwYmTYL0demcHq+uB3T8ODRpoj4nH255mPT16pC31avVNl9acYmD7gcBtSPk88/VhOy/g/9Lymp1naDc3N9/juXy2/jfKMrRPvTnHs0lJ1GbIJg7mhvea+N4UbZRpTlHszL3tfW3xdbPVv3l++8hKQmdXsejKx/FsasjfPcdPPMMKAqeL3nSLbubmjQHBRnGbfqt9qPBcw3UZGrqVMjIwMrbCtenXdX5Q8nJcMKoZLjz75+XrCzTuHHM0VHtejQeHteqlTpxz9jy5YYeK4O//13NvI0roERHq+NEjc/7ySemZSoHDVLXAijNzg46dlT/tzRzc7V36S7IzlZ/hBBCiAeFJFPioaC30uMQ5GB4iC/R+PXG+K/RjsvTWehosa4FTl21C1kV3yxWezGMFOUWYWav7QkoulEEOtDb6E321VupsYYN1XLuBWkFZH2XBcVqJ8Rvv0FICFyLvmboHXvmGTXxup15m7SP0yi4os49CQqCli0h+0A2V3eoi65mZKjPws4OCmmfpJF3Ls8Qd3ODGydvGBZivXYNzp1Tn5/zzudRcFk9b3Q0xMSA3lpPcZ46r+zyZRg2TE3AzGzMDMPg3noLOnRQ9wU16bl9W+1127JFTYZKEqENG2DwYLBws8CpuxM6Cx0UF/PWxBx27YIGwxvgNdYLbt8m/ZX3+Oy1Yyi25nT4tQMuf3GBlSvJafI4R4+C1z+8CPgiQP1v82wIv87ZxM2batw+wF6d2LZtG78evYGZtRlm1up/o+J6LmQmXdOOhHNR10C7clqbDClOzty8eovc0lXH3d3JHzyMizeMEpZ//IMLry/nWunRhBYWZKXlcbJNqHbfoUM5PukTzp/Xhq8OGMm3V1ppcy9HRw5eaMzhI9oEJzMT1q417YH85hs16S3t5k017/qvtqo6X36p9ngaCwlRp1+V9sUX6hBUYz17qpUtS4uOVjvHjDvkBg9WO/uEEEKIB4UkU0IYMbM1o0FoA6wbaROnJm83oe2Rtib7B2wNwHWgqyZmF2BHoymN0Om1D8C2frYma/EU5aqJhnFCVtojj6hFLIxt26YmOKUNGaJWDzQugvHXv6qjtEonQsXF0KCBmsRZelga2pubq8asfayp90Q9lCLFMPrM3l4tmuAU7KTZ1z7QHv9If8zrmXP7fArWF36loEAtr93y85aQmYnfwpfI2vcz1o2tabOvjTp/aPJkhi/vxM8/g8tTLmpPkZkZ7kve5OD7P6DT67BtbouZrfr+WJ3/lTWfaOda3bJx4atPr3L5cqng7wnS+29q50pda9WLeV/4kZhYKujnx8ontjDMqEczd1UUdvt3aQvTOTszP3A9Hce00r7Bjz9OwMvdWbNGG96yVUfLlpgICVFHw5V25IjagZSRoY1HRBhqTRhcuqROsfrtN21840ZYtkwbu30b5s83XZA6MdEwzUsjOtr0vFevwqFD6lDU0i5fVreVptern63b2hocmJubVroUQggh6jLzP99FCFFCV8bwJ5enXExiTl2ccOriZBIv6UkpzW2QG91yumnKvgM8uvpRk2TMppkN7f/b3qSHrMnsJhQXqAmSs7P6oxSZ0f5Ee6waqvPESnoPCrO98RilVkbs1euP3gPPpE6G8330kfrQ7OLrYnh9XmmJrJtUzCOPtKNBl9+TjjNneGvPi2zsvgIrrxZ4vKCet/gfbxBlmcRlhwOYO/z+ZyZPT1DCR7Rw7QOUSkTc3HApztDWNtDrybdzwT0nQ5sUenhwxdwTa/KAP5LS84MmEvNBU0JKv4Xdu/Ncj1QUe+38ufTx77BgNQwq/VWSkxNHmwwm9zhaxkPrqqG4WHs6MzPT4iElU53KihtPmbrTvmUlLCXvYVnxspIbM7Pyz1F6mQAvL9OpW/Xqqb2uxlO3unQxLbgihBBC1GWSTAlRy3R6Heb2pv8UbXxtTGJm1mbYPWZnEjeuXgigM9Nh19J0X3Mn8z9KZu/Yoc7r6d79jx0OH8bnhRfUcX780VNTb8lMQgEalBr/pdfTOGkPr314EfijepullxsdmvwI/Utd2NERxdychdOMujFatsQ6uD2hwxTUcnmqzKWf0fl6U+30ncGD+fY/g/mrr/YUlhNeprOrWt7ewMaGXsNssDYamensDKNHqz1ypXXooM5XK83cHEJDTSsxBgaqQ9aMhYZi0gv16KNqD5Jxj87w4dC8uTbWtKla78JBW6CSUaNMexo9PNRy+02bauNjxphO3bK2VqeVGbftH/+AZ581fR2nTpkmSGFh6usw9u23prEOHdReNmMzZ5rGhBBCiLpMpxjXhH5IJSYm0rZtWxISEggKCqrt5gjx5xRFLWFta6uNr1qlPsGXXkx1xw71Sf/iRTV5KtGtm/o0Hhn5R+zoUXUy1pEjavdCiVGj1EoVvy/+CqiV8ezt1bFipccbfvkl/PijWt6wtBMn1MliTqa9duLhJX9/70zeGyGEqB0V/fsrc6aEuJ/cuIFJVQJQK80ZdwH85z9qYmQ8zmv5cjWZKc3WVi25bVytwN297JiDA9qqC8DQoYbFYw3s7NTFXJ97Thv/299MEylQF5SVREoIIYQQDwgZ5ifE3Xb+vDoxqWPHP2K3b6s9Rf/8p7YU9vLl6oq9xjP6IyPVsVqly2m7uqoTabKyDMUWgLITJE9PtbfKuET32LGmk2MaNlQTJGNlVcAA0zFpQgghhBAPCemZEqIijEfDHjqEtsQbagLUrp3pgqcrV6oTZEozN1eH3hmvYeTmptYrN05w3N1NS7z5+qrENyyiAAAgAElEQVR1qY0TpHfegSlTtLEWLdSJMI89po336QP9+iGEEEIIISpPeqbEwycvD86eVeuNly4t9skn6pC50kPZTp1S5w99+y107vxHfM0a+OknbW+NnR0kJMCFC9rrubmZJkI6nRo37kFq2VKde5SXp60AEBVluhBr27awZ4/p6ytrMSAhhBBCCFHjpGdK1D3FxVBQoI0lJ6vJkPHCNmPHwrvvamNHjqhJy5kz2nh0NGzapI05OqornhoPuysrQbK2VucDGc816toVxo0z7d06fBjefFMb69JFLeZgXErt8cfV4XdCCCGEEOK+IcmUuPfKKiBZ1iqh335rWtgA1Lk/xjWWf/5ZrXdtnPScOoV2dVbUuUZguq+rqzrErjQXFzXxMl4w55ln4O23TduWmQkvv6yNdekCc+aA8RpVnp5gY1r+XAghhBBC1A2STImKKy5Wkw3jXqHDh+Grr7SxvDwICYH9+7Xxd98FHx/Tcw8bBl98oY1dugQbN0J+vjbu6Gi6kI6zs/q/mZnauIuLaYLk4QEjRvxxTInXXoO1a7UxKyt1XtNf/qKNt29vOg8KTBMmIYQQQgjxwJJk6kF0+7Y6F8e4ZPaBA+qcntLOn4dXX1WrzZU2fTpMnGi6r6uraYK0bh1Mm6aNWVioQ+Z+/VUbt7IyTW5ATWyME6SSOULZ2dp4p07QqJE25ucHH36oFmoobe1a+OYbbczFRY0bF2N45BHTmBBCCCGEEHcgyVRd9+STsHixNrZ9O9Svb5qcvPkmLF2qjWVkwMKFkJqqjZ8/ry7eWlpJCWzjstkODqYxMzN13o9xvFEj8Pc3TfTeeENb9hvUkuEXLvwxLK/EypWmc43q11fLjLu5aeM2NqCXj7kQQgghhKh5Us2vrrtwwbR6nJ2d+r83bmjXH7K1VWN32re0svZ1dFTLaJc+J6gLtPr7m7btl19ME6EhQ9QfY//4h2nMzu6P9gkhhBBCCHGfkWSqrnN3N52n4+UF/fubFk0YPdo05uOjDtsLDNTGV6403dfSUi0UYax9e/XHmPFQPCGEEEIIIR4gkkzVdbGxprHHH1eH+hn7+99NYzY20K2badw4kRJCCCGEEEJoyGQSIYQQQgghhKiC+zKZKigo4PXXX8fb2xtbW1s6derEt99++6fHRUREoNfrTX5sbW3vQauFEEI8yOTeJIQQwth9OcwvLCyMrVu3MmnSJJo1a8ann37K008/zd69e+nSpUu5x+p0OlatWoVdqcIFZjJkTQghRDXJvUkIIYSx+y6ZOnz4MBs3bmThwoVMmjQJgBdeeIGAgACmTJnCgQMH/vQcQ4YMwcW44pwQQghRRXJvEkIIUZb7bpjf5s2bMTc356WXXjLErKysGD16NIcOHeLSpUt/eo7i4mJycnLuZjOFEEI8ROTeJIQQoiz3XTL1008/8eijj2Jvb6+Jd+jQwbC9PIqi0LRpU5ycnHBwcOCFF17g8uXLd629QgghHnxybxJCCFGW+26YX2pqKp6eniZxT09PFEUhJSXljsfWq1ePf/3rX3Tu3BkrKyv279/PBx98wJEjR4iPjze5CQohhBAVIfcmIYQQZbnvkqlbt25hZWVlEre2tjZsv5Px48drfn/mmWdo3749w4cPZ+XKlUyZMqVmGyuEEOKhIPcmIYQQZbnvhvnZ2NiQn59vEs/LyzNsr4xhw4bh4eFRofK1QgghRFnk3iSEEKIs913PlKenZ5nDJVJTUwHw8vKq9DkbNWrEtWvXKrTvpEmTcHJy0sSGDRvGsGHDKn1dIYQQWhs2bGDDhg2aWHZ2di21puLk3iSEEA+u6tyb7rtkqnXr1uzdu5fc3FzNOPK4uDh0Oh2tW7eu9DnPnTtHUFBQhfZdvHhxhfcVQghROWUlAImJibRt27aWWlQxcm8SQogHV3XuTffdML+hQ4dSWFjI6tWrDbGCggI+/fRTOnXqhLe3NwAXLlzg1KlTmmMzMjJMzrdy5UquXLnCX/7yl7vbcCGEEA8suTcJIYQoy33XM9WhQwf+/ve/88Ybb5Cenm5YZf78+fOsWbPGsN8LL7xAbGwsxcXFhpiPjw8hISE8/vjjWFtbs3//fjZu3EhQUBBjxoypjZcjhBDiASD3JiGEEGW575IpgM8++4y33nqLqKgoMjMzCQwM5Ouvv6Zr166GfXQ6HXq9tmPt+eef54cffmDr1q3k5eXh4+PD1KlTefPNNw0Vl4QQQoiqkHuTEEIIYzpFUZTabsT9oGRcZEJCgoxLF0KIe0j+/t6ZvDdCCFE7Kvr3976bMyWEEEIIIYQQdYEkU0IIIYQQQghRBZJMCSGEEEIIIUQVSDIlhBBCiP/f3p0HR1Gnfxz/zBCGXIgkBA3IcoqiHFlAJByaDSAQKC8QqnYlXlAsLhtF3biu4MGSFVSEHyjLAtbP+pktlcNSCjwQNBIgAlHORRBZYElADsORi0CS7++PMUOGyYTQkExP9v2q6lKe+Xb39+Gr/dQz0zMNALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imAAAAAMACmikAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imAAAAAMACmikAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imAAAAAMACmikAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imAAAAAMACmikAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imAAAAAMACmikAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imAAAAAMACmikAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALLBlM3Xu3Dk9++yzatmypcLDw9W7d2+tXr26RvsePnxYo0aNUtOmTdWkSRPde++92r9/fy3PGABQ31GbAAAXs2Uz9dBDD2n27NkaM2aM5syZo5CQECUlJWnDhg3V7ldYWKiEhARlZmZq8uTJmjp1qrZs2aKEhASdPHmyjmYPAKiPqE0AgIvZrpnatGmTPvjgA02fPl3Tp0/X2LFjtWbNGrVu3VqpqanV7vvWW29p3759WrlypZ5++mk98cQTWrVqlQ4fPqyZM2fWUQbVe++99wI9hauivuQh1Z9cyMN+6ksu9SWPK0FtCg7kYT/1JRfysB+75GK7Zmrp0qUKCQnRuHHjPLFGjRrpscceU1ZWlnJzc/3uu2zZMt12223q3r27J3bTTTdpwIABWrx4ca3Ou6bssvBXqr7kIdWfXMjDfupLLvUljytBbQoO5GE/9SUX8rAfu+Riu2Zq69at6tixoyIjI73ivXr18rxeFWOMtm/frp49e/q81qtXL+3bt0+FhYVXf8IAgHqP2gQAqIrtmqkjR44oNjbWJx4bGytjjA4fPlzlfnl5eSopKfG7ryS/+wIAUB1q02UoLJQmTJC2bfOOZ2dLS5f6jt+xQ8rLq5u5AcBVZrtmqri4WI0aNfKJh4aGel73t58kS/sCAFAdatNlOHNGmj9fysnxji9eLD33nO/4Hj2k99/3js2bJ117re/YESOkRYu8Y9nZ0qOPSgUF3vH/+z/pk0+8Y3l50rJl0unT3vGDB6UDB7xj5eXSqVNSaanvPADgFyGBnsDFwsLCVFJS4hM/e/as53V/+0mytK90oZh9//33lzfhy3T69Gl99913tXqOulBf8pDqTy7kYT/1JZfazqPiumvnpoLadBkqmqhDh6TKxzx40P3PyrHSUun8eenYMe/4nj1SWZl3TJLWrpViYqRK3z/T6tXS//6v9Mgj3nm89prUoYN0/fUXxm7b5m68liyR2rW7EE9NdX+i9tZbF2JHjkjDh0tvvinFx1+I/8//uBu4d9+9EDNGuu8+aeJEaeDAC/FVq9wN3ezZ3nmkpbmPmZh4IbZrl7R8ufTUU955LF3qzvnOOy+MPXZM+uIL9/yaNLkQ37TJ/c9fbj+VJBUXS1lZUlycFBV1Ib5/v5SfL3Xt6p3Hjh1Sq1ZS06YX4nl57ga0bVvvPHJypMaNvedQXOwe27y55HReyOXMGSkkRAoPvzC2tFQqKZHCwiSn0zsuucdXnpsxksPh3uoY13P78ZuLMRf+vfJ/K2Vl7n82aOA9trTUHXN6f8ZU49pkbGbQoEHm1ltv9YmvWbPGOBwOs2LFiir3Ky8vN6GhoeYPf/iDz2tTpkwxTqfTFBQU+D1venq6kcTGxsbGFqAtPT3devGoZdQmNjY2tv/O7VK1yXafTMXFxSkjI0MFBQVeX/T95ptv5HA4FBcXV+V+DodDXbp0UXZ2ts9rGzduVLt27RQREeH3vIMHD1Z6erratGlT7buEAICrq7i4WAcOHNDgwYMDPRW/qE0A8N+lprXJYUzlz8ICb9OmTerdu7def/11PfXUU5LcT53v3LmzYmJitH79eknSoUOHVFRUpJtuusmz76uvvqrnnntOmzdv9vwE7Z49e9S5c2elpqYqLS2t7hMCAAQ9ahMAoCq2a6YkafTo0froo4/05JNPqkOHDnrnnXeUnZ2tL7/8Un379pUkJSQkaO3atSovL/fsV1BQoF//+tfKz8/XM888o5CQEM2aNUvGGG3ZskXR0dGBSgkAEOSoTQCAi9nuNj9JevfddzVlyhSlp6fr5MmT6tq1q1auXOkpVpL71gnnRV8Ui4yM1Ndff61JkyYpLS1N5eXl+s1vfqM33niDYgUAuCLUJgDAxWz5yRQAAAAA2J3tnjMFAAAAAMGAZsqC7OxsTZw4UZ07d1ZkZKRat26t0aNHa+/evV7jHnnkETmdTp/tlltu8TmmMUavvvqq2rVrp7CwMHXr1k3vX/wQw1qwa9cujRo1Su3bt1dERIRiYmJ05513asWKFT5jd+/erSFDhqhx48aKjo5WcnKyTpw4YYtcappHMKzJxdLS0uR0OtW18rNAfrFhwwb169dPERERio2N1RNPPKHCwkKfcefOndOzzz6rli1bKjw8XL1799bq1avrYvoe/vJISEiock2SkpJ8jhGIPL7++usq59egQQNtqnimyy/svB41zcPu6wH/qE3UprpEbbrAztd0yd7rUR9qky2/M2V3M2bM0IYNG/TAAw+oa9eu+umnnzR37lx1795dGzdu9Lr4hYaG6u2331bluymbVH643S/+8pe/aMaMGRo/frx69uypjz/+WL/97W/ldDo1atSoWsvl4MGDKigo0MMPP6wWLVqoqKhIy5Yt0913360FCxZo7NixkqTc3Fz1799fTZs21fTp05Wfn6/XXntNO3fu1KZNmxRS6cF6gcilpnlI9l+TynJzc/XKK694/RRzha1bt2rgwIG65ZZbNGvWLOXk5Oi1117Tjz/+qJUrV3qNfeihh/Thhx9q0qRJni/OJyUlKSMjQ3369AloHg6HQ61atdL06dO91qRFixY+YwOZx5NPPqmePXt6xTp06OD592BZj0vlESzrAV/UJmoTtenq5REs10Jqkw3Wo9qnUKFKWVlZ5vz5816xvXv3mtDQUDNmzBhP7OGHHzaNGze+5PFyc3ONy+UyKSkpXvE77rjD/OpXvzLl5eVXZ+I1VF5ebuLi4kynTp08sQkTJpiIiAiTk5Pjia1evdo4HA6zcOFCT8xOuVSVR7CtyejRo83AgQNNQkKC6dKli9drQ4cONS1btvR64OeiRYuM0+k0X3zxhSe2ceNG43A4zBtvvOGJnT171nTo0MH07du39pMw1edRVawqgcojIyPDOBwOs2zZsmrH2X09apqH3dcD/lGb3KhNtY/adIHdr+l2X4/6UJu4zc+C3r17e73bJbm751tvvVXff/+9z/jy8nLl5+f7Pd5HH32k0tJSTZgwwSs+YcIE5eTkKCsr6+pMvIYquv9Tp055Yh9++KGGDx+uli1bemIDBgxQx44dtXjxYk/MTrlUlUeFYFiTtWvX6sMPP9Ts2bN9XsvPz9fq1as1ZswYrwd+JicnKyIiwmtNli5dqpCQEI0bN84Ta9SokR577DFlZWUpNzc3YHlUVlZWVuVtBxUCnYfk/onrsrIyn3gwrYfkP4/KgmE94I3a5EZtql3UJm+BzkOiNlUWiDxopq6io0ePqlmzZl6xoqIiXXPNNWrSpImio6M1ceJEn/8Itm7dqoiICN18881e8V69enmeQ1LbioqK9PPPP+vf//63Zs2apU8//VQDBw6UJB0+fFjHjh3z+fi1Yo6V5xfoXKrLo/IYu69JeXm5UlJSNG7cON16660+r+/YsUOlpaXq0aOHV7xhw4aKi4vzWZOOHTv63MbQq1cvz+u15VJ5VPjhhx8UERGhxo0bKzY2Vi+88IJKS0u9xgQyD8n9nYZrrrlGoaGhSkxM1Lfffut5LVjWQ6o+jwrBsB6oOWpT4HOhNtnrWkhtstd6SMFdm/jO1FWSnp6u3NxcTZs2zRNr0aKFUlNT1b17d5WXl+uzzz7TvHnztH37dmVkZHieRXLkyBFdd911PseMjY2V5C4Yte3pp5/WP/7xD0mS0+nUiBEjNHfuXM/8Ks/n4jnm5eXp/PnzatiwYcBzqS4PKXjW5O9//7v+85//6Msvv6zy9SNHjsjhcPhdk3Xr1nmN9TfOGFOruVwqD8n9znliYqK6dOmiwsJCLV26VNOmTdPevXv13nvvecYFKg+Xy6WRI0cqKSlJzZo1065du/T666+rf//+ysrKUrdu3YJiPfzlcccdd2jDhg3q1q2bJPuvBy4PtYnadDVRm+xzLaQ22Wc9aKaugt27d2vixInq27evkpOTPfG0tDSvcaNGjdKNN96oyZMna+nSpZ4vihYXF6tRo0Y+xw0NDfW8XtsmTZqkBx54QIcPH9bixYtVVlamkpISr/Nfao4NGzYMeC7V5SEFx5rk5eXpxRdf1AsvvKCoqKgqx1xqTSrPL1C51CQPSVq4cKHXn3/3u99p/PjxWrRokSZNmuR5NylQecTHxys+Pt7z5+HDh2vEiBHq2rWrnnvuOX3yySdBsR41yUOy/3qg5qhN1Karidpkr2shtck+68Ftflfo6NGjGjZsmJo2baolS5bI4XBUO37SpElyOBxeP9EYFhbmdVGtcPbsWc/rta1jx45KTEzUgw8+qOXLlys/P19333231/lrMsdA51JdHv7YbU2ef/55zy0e/lxqTSrPL1C51CQPf55++mkZY2yzJhdr37697rnnHn311VcyxgTFelTl4jz8sft6wBe1idp0tVGb7H8tpDYFJg+aqStw5swZDRkyRGfOnNFnn32m66+//pL7hIaGKjo6Wnl5eZ5YbGysfvrpJ5+xFbcwVPWzj7Vt5MiR2rx5s/bu3ev5uLRiPpUdOXJEUVFRatiwoST75VI5D3/stCY//vijFi5cqJSUFOXm5urgwYM6cOCAzp49q/Pnz+vgwYM6efKk5+Nqf2tSeX6xsbF+x9VWLjXNw59WrVpJks+a1HUe1WnVqpXOnTunwsJC269HdSrnUd0Yyd7rgQuoTdSmq43a5BYM10JqU93nQTNlUUlJiYYPH+75nf6bbrqpRvsVFBToxIkTiomJ8cTi4uJUVFSk3bt3e4395ptv5HA4FBcXd1XnXhMVH4OePn1aLVq0UExMjLKzs33Gbdq0yWt+dsulch7+2GlNcnNzZYxRSkqK2rZtq7Zt26pdu3bauHGj9uzZo3bt2umvf/2rOnfurJCQEJ81OX/+vLZu3eqzJj/88IMKCgrqLJea5uHPvn37JMlnTeo6j+rs27dPoaGhioyMtP16VKdyHtWNkey9HnCjNrlRm64uapNbMFwLqU0ByKNWfnC9nisrKzN33323cblc5rPPPqtyzNmzZ01+fr5P/E9/+pNxOp3m448/9sRycnKMy+Uyf/zjH73G9u/f37Rq1apWnxtx7Ngxn9j58+dN9+7dTUREhCksLDTGVP8sjwULFnhigcqlJnkEw5qcOHHCfPzxxz5b586dTZs2bczy5cvNzp07jTHVPzti1apVnljFMxdmzpzpiZWUlJgbb7zR9OnTJ6B5nDlzxpSUlPjsP3r0aON0Os2WLVsCmocxxhw/ftwntnXrVuNyucx9993nidl5PYypWR7BsB7wj9rkRm26+qhNbna6FlKb7LMeNFMWPPHEE8bhcJh77rnHpKen+2zGGHPgwAHTtGlT8/jjj5s5c+aYOXPmmKSkJONwOMywYcN8jpmammqcTqcZP368WbRokRk2bJhxOp3m/fffr9Vc7rvvPjNgwADz8ssvm0WLFplp06aZTp06GafTaWbPnu0Zd+jQIRMTE2M6dOhg5s6da/72t7+ZqKgoExcXZ86dOxfwXGqSR7CsSVWqeljdd999Z8LCwkz37t3N/PnzzfPPP2/CwsLM0KFDffYfNWqUcblcJjU11SxYsMD06dPHuFwus27durpKwRjjm0dGRoaJjY01Tz31lJk3b56ZOXOm6du3r3E6nWbChAk++wcij8TERDNs2DCTlpZmFi5caJ588kkTERFhoqKizO7duz3j7L4eNckjGNYD/lGbqE11jdrkZtdrujH2X4/6UJtopixISEgwTqfT72aMMadOnTLJycmmY8eOJjIy0oSFhZkuXbqYGTNmmNLS0iqPO336dNO2bVsTGhpqunTpYt57771az+WDDz4wd911l4mNjTUul8tER0ebu+66y6xYscJn7K5du8yQIUNMZGSkiYqKMsnJyVW+62ZM3edSkzyCZU2qkpCQYLp27eoTX79+venXr58JDw831113nUlJSfF696lCSUmJSU1NNS1atDBhYWHm9ttv93ryeV25OI/9+/eb0aNHm3bt2pnw8HATGRlpbrvtNrNw4cIq9w9EHnPnzjW9e/c2zZo1My6Xy7Rs2dI89NBDZt++fT5j7bweNckjGNYD/lGbqE11jdrkZtdregU7r0d9qE0OY6r5mQwAAAAAQJX4AQoAAAAAsIBmCgAAAAAsoJkCAAAAAAtopgAAAADAApopAAAAALCAZgoAAAAALKCZAgAAAAALaKYAAAAAwAKaKQAAAACwgGYKAAAAACygmQIAAAAAC2imgCCRmZmp9evXB3oaAAB4UJvw345mCggCP/74o1asWKG+ffvW2Tn//Oc/q7CwsM7OBwAILtQmQHIYY0ygJwGgeqNGjdLbb7+txo0b19k5c3JyNHXqVC1YsKDOzgkACB7UJoBPpgDby8rKUvPmzeu0WEnSDTfcoI4dO+qjjz6q0/MCAOyP2gS40UwBNnL8+HG9+eabKi4u9sTmzZunMWPGBGQ+48aN06xZswJybgCAPVCbAP9opgAbmTZtmlJSUrRmzRpPbN26derRo0dA5tOkSRNde+212rlzZ0DODwAIPGoT4F9IoCcA/Dd56aWX9K9//Uvx8fE6ceKEioqKtHr1amVkZKhZs2b6/PPPFR0drUGDBklyf7k3JiZGISHe/6tOnTpVO3fuVHJyslwul7Zv366CggLl5eVpzpw51Y47efKkcnNzNX/+fM2bN09lZWX67rvvlJycrKFDh/rMOT4+Xp9++qk6d+5cu385AICAoDYB1tFMAXVk1apVGjx4sNq0aaNx48Zp7dq1Ki4u1gcffKCSkhIdOnRIP/zwg1JTU9WoUSNJUm5urpo3b+51nIyMDA0cOFBRUVF6/PHHNWfOHD3zzDOSpOjoaI0dO1Zdu3a95LiSkhLNmTNHMTExWrFihSZPnlxlwerWrZvS09Nr+W8HABAI1CbgynCbH1BHHA6H4uPjtWPHDo0cOVLx8fFKTEzUkSNH1LJlS33++edq0KCBJkyY4Nnn+PHjatKkiddx9uzZo/j4eO3cuVN9+vTRvffeK0kqKytTfn6+HA5HjcY9+OCDiomJkSTl5+f7nXdUVJT27dt3Vf8uAAD2QG0CrgzNFFBHKm6PyMzMVGJios/rX3zxhYYNG6bWrVt7YuXl5T7jxo8fL4fDoczMTN1zzz2e+DfffCOXy6VOnTpVO27Lli1q0KCBZz4Vc/J373vTpk11+vTpy8wWABAMqE3AlaGZAupQYWGhtmzZon79+nnFjTFas2aNUlJSvOLNmjXTqVOnfI6Tl5en3bt3ex1nxYoVGjBggNc97FWNW7dunXr27CmXy+WJLV++XElJSVXOuayszGssAKB+oTYB1tFMAXUoKytL1157recdugrffvutmjdv7vOuYGxsrH7++Wef46xfv1433HCDWrVq5YktWbJEI0eO1KlTp/TPf/5Tkrs4XTxu3bp16t+/v+fPmZmZOnPmjIYOHap33nlHRUVFXuc6efKk55YLAED9Q20CrKOZAupQZmam+vTp4xPfvn27zzt/knTzzTfr6NGjPrdUZGZmer2jl5eXp/3792vAgAFasmSJ5zaJdevW+bzTeHHB2rx5s/r06SOXy6XDhw8rPDzca/yJEyfUokWLy08WABAUqE2AdTRTQB3Kzc3ViBEjfOKPPvqofv/73/vEHQ6Hbr/9dm3bts3nOPfff7/nz1FRUbr//vs1f/58NWvWzPMrSxePO336tMLDw70KVlJSksrKyvTSSy/p4Ycf9plDdpkaDtEAAAEeSURBVHa2evbsedm5AgCCA7UJsM5hjDGBngQA/z7//HOtXbtWaWlpATn/oEGDNH/+fLVv3z4g5wcA2A+1CXDjkynA5gYPHqzt27fr7NmzdX7u3NxcGWMoVgAAL9QmwI1mCggCL774ol5++eU6P+/cuXM1ZcqUOj8vAMD+qE0AzRQQFHr27KkePXroq6++qrNzbtu2TefOndOdd95ZZ+cEAAQPahPAd6YA+PHKK68oNTVVDRo0CPRUAACQRG2C/dBMAQAAAIAF3OYHAAAAABbQTAEAAACABTRTAAAAAGABzRQAAAAAWEAzBQAAAAAW0EwBAAAAgAU0UwAAAABgAc0UAAAAAFhAMwUAAAAAFtBMAQAAAIAFNFMAAAAAYMH/A2uqU0cdFsz9AAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fc8f22b1a10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fc8f21e5450>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot the LDOS's.\n",
    "using PyPlot\n",
    "fig = figure(\"LDOS(r') plot\",figsize=(10,5))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "cp = ax[:plot](rprime, ldos_int[:,3], \"b:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,6], \"r:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,9], \"m:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,12], \"k-\", linewidth=2.0)\n",
    "\n",
    "xlabel(L\"r\\prime(nm)\")\n",
    "ylabel(L\"LDOS\")\n",
    "ylim(-0.0,2.2)\n",
    "xlim(225,575)\n",
    "legend([\"LDOS_x\",\"LDOS_y\",\"LDOS_z\",\"LDOS_total\"],loc=\"right\")\n",
    "\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "cp = ax[:plot](rprime, ldos_int[:,10], \"b:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,11], \"r:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,12], \"k-\", linewidth=2.0)\n",
    "\n",
    "xlabel(L\"r\\prime(nm)\")\n",
    "ylabel(L\"LDOS\")\n",
    "ylim(-0.0,2.2)\n",
    "xlim(225,575)\n",
    "legend([\"LDOS_rad\",\"LDOS_guide\",\"LDOS_total\"],loc=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The LDOS values seem larger than what I expected given $n_1=1.4496$.."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Improved method to calculate the relative decay rates\n",
    "\n",
    "Now, we consider to only use the radiation part of LDOS from the BEM calculation while using the analytical solution of the Green's function tensor for the guided mode contribution part of the decay rate calculation.\n",
    "To verify this idea, here we compare the radiation contribution part of the averaged decay rate (or when the dipole is orientated along $[1,1,1]$ direction) against our trusted results calculated from the known analytical solution on Matlab."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1XOu9e0ONGjB7tttNqlSBf/zDHJcumXGGS5aYIybGcZ7VavbVWrfOUQsLcw1bTZt67p4sIiIiIjeMwpWIFz35pDmc/fmnGdn34ouu9cWLzdLvI0dmdEAVLQoPPGAOm82smBEVZeZl/fIL/PGH6w3i42HhQnOASXsNGpigdeed5mOtWq4LaoiIiIhIrlG4ErkBnn7aZCZn8+fDzp0wapSjlp4O06ZB584Wytevb+ZlDRliXjx5EjZudIStX35xHZeYlmZWKdy2zaxaCGYBjTvvdIStO++EMmVy9VlFREREblYF4lfaFy9e5O2336ZTp06EhITg4+PD9OnTs339+fPnefrppwkNDaV48eK0a9eOrVu35mKLRRyqVYPPP4fixV3r69ZBq1autX37YMAAE7qcxcbChaByJqGNGmXmYp09a3q3vvrKpLeGDT17qTLXkR85Ejp3Ngtl3HYbPPYYTJwIW7ZoY2MRERERLykQPVenTp1i1KhRVKlShUaNGhEVFZXta202G507d2bnzp28/PLLhISEMHHiRNq2bcuWLVuoXr167jVc5Ap++sl0Njlbt87kozvvdK0/9xxcuGDWvMhks/hAnbpY6tZ1jEVMSDBjEDdscBzHj7vebN8+c8yYYf5epIiZr+U8nNB9I2QRERERuaoCEa4qVKjAsWPHCA0NZfPmzTRr1izb186bN4/169cTGRnJQw89BEDPnj2pVasWb7/9NjNnzsytZotcUViYZ611a/jyS7O3ViabzYSuQYNcz9240azavnat2fwYMN1jbduaI/PimBhH0PrlF9i82XVp98REiI42R6bwcNew1bSpmRMmIiIiIpdVIMKVv78/oe6bDGVTZGQk5cuXtwcrgLJly/Loo4/y9ddfk5KSgr+/v7eaKnJdatXyXGnQaoUePcy2V87WrTOj/ipXdq0PGwZ33AH9+mFWyqhSxRy9epkTkpJg+3ZH2Nqwway64SwuDiIjzQFmsYzbb3eErRYtoGZNLQUvIiIi4qRAhKvrsXXrVpo0aeJRb968OV9++SX79u2jXr16edAykewpUgQmTfKsX7wI994Lzr8bSEkx+xBXquR67o4dsH69GT3oHxgIzZubI9OJE47FMjZsMH++cMHxelqamZ+1ZYujMaVKQd26ULs21Knj+HjrrSaMiYiIiNxkCn24io+Pp02bNh71sIwxWUePHlW4kgLpjTc8a7t3m+2y3BfKiIyECRPMuhfO1q0zq7cHh4ZCly7mABOm9uxxnbu1a5cZZpjp3DnPvbcAAgNNr1Zm4MoMXbVqaR8uERERKdQKfbhKTEwkMDDQox4UFITNZiMxMTEPWiWSOxo2hGPHPFdbX7cOWrZ0HcWXkAB3321WMnzqKUc9MRGCgnyx1KsH9eqZ5QvBLPueuVjGL7+YXqwjRzwbkZQEv/1mDneVK7v2cmWGr9BQDTEUERGRPPPXX2YL0dtuu777FPpwVaRIEZKSkjzqVqsVi8VCkSJFrnj98OHDKVmypEstIiKCiIgIr7ZTxFtuucWz9u9/mz20nG3caGotW7rWX33VZKf1691uUqIEtGtnjkwXLsDevaaXa88e03W2Zw/s35/1Eu8xMeb44QfXeunSrr1cmX+uWhX8Cv2XKRERkZvapUuQmuq6oNelS7Bpk5nyXaqUo756tZnNkDmVHMz89KFDzS+LnWc9fPWVGb2zdKnr+4WFwUsvwQsvOGrz55vfJ6emwty5s5k9e7bLNefPn8/WsxT6n1rCwsKIj4/3qGfWKlSocMXrx44dm+WcLZGC5I47PGvlysHzz5sM42zdOs/asWNmZcLPPjNf5OyCg83N3d8gNdUskuEeunbvhqy+OJ09a9Kce6ILCDBDDN3nddWq5blxmIiIiHhFWpoZyeL+rXb1ajMIxXkno61bYe5cGD3adcr1sGGmF+iZZxy19evh0UfNAsVVqjjqjz5qfpf6v/85anFxZvHjqChwnuEzb54ZROMcriwWs9ry3Xe7hquTJ80vk92lp5vncxYUZD4mJWXdkbJlyxaaNm3qeTM3hT5cNWrUiGjnJaYzbNiwgaJFi1LLfWk2kZtEgwYwdqxrzWaD8uWhfXvX+rp15gtZ2bKu9S++MPsS9+jhdnM/P8fSh127ur7B8eOugSvzz7Gxno1MTjZzvXbt8nytUiXPeV21a5uuOw0xFBGRm8CFC2agiPN0gIsX4fvvzfYuzqNZFi4021y+8oqjlpICd90Fb78NDz7oqH/4IXz0EZw65fp+vXqZHiLned+7d8P775ua89Tq9etN75Mzm83MKHCvBwW5rqMFZkEvML1S7ue6B6OAAPOtP6tzsxpI07ix5xSKGjWgf3/X6eXXolCFq2PHjnH+/Hlq1KiBb0Z0fuSRR4iMjGTBggU8/PDDgNmUeP78+XTt2lXLsIs4sVhg0SLP+p495jdM4eGu9TFjzBLxzuFq0yZTnzTJ8wsXFotJb+XLO/biypSQYL7qO/dyZQ4xdN6XK1NsrDmWL3etlyplflVWubLZDDnzqFTJfAwL01BDERG5oU6fNt96nGeaHD4Mq1ZBnz4mHGR6/30zFfnJJx21bdtM786SJWZAR6YnnjChxHm0/dmz8MgjsGwZdOzoqEdHm+udw5Wfn+l5OnrUtb3FipmQ5q54cc9glBmoEhNdw1VQkGfYKV4cKlTwnKpwxx1mnSxnpUrByy+79nAB9O3rOkMBzI8X27ebb/POhg0zo3Tcff+9Z819IeVrVWB+wpgwYQLnzp0jLi4OgEWLFhGb8ZvuoUOHEhwczL/+9S+mT5/OoUOHqJyx+c8jjzzCuHHjeOKJJ9i1axdly5Zl4sSJpKen88477+TV44gUKK+95vnF6eRJk3tGjHCtb95sxje778/dvj3ccw+89ZajdumS+WIcEoL5itukiTmcpabCwYNZDzF0/0oMpvbLL+bIio+PCXfOwcs5fFWsaL7yO3+nExGRm9ahQ2ahg7vucq2/8QY88IBr/ZtvTI/Ppk2u5zZpYvafHD3aUdu61QSoLl3MUP1M339vfpnpHK5sNvM9131kfbFiZui+s6JFzUf3cJRVYLJYzDwn999hVqtmhtjZbK6DQZ5/3gwUcdayJaxY4TRfymaD1FS+nZVMAMlwPNm8QVISDf2SiVuSDBeTIdpR/1edjD9/7agVT07mg3LJsCCjllFvkpxMk+RkiMyoNWoEL71EgwZ4yIuBLAUmXI0ZM4aYmBgALBYLCxcuZOHChQD069eP4OBgLBYLPj4+Ltf5+PiwbNkyXnrpJT755BMSExNp3rw506dPp6Zz9BeRK8r8Yp2pdGkzjrlGDdf6/v1mHQrnTmGbzSw06D7ccNky89u1Eydcv7GsXm3yzW23YX6tVrOmOZzHLNhs5sKsQlfG14ospaebX9EdPZr1QOxMt9xy+fBVsaL5zpc5QFtERPLcqVNmrpDzULgzZ8wcne7dXesTJpjBD++/73pueDjMmmXmGWeaPBlmzDA9Tc7GjTO/HHQOVwkJ5vtdWprr/KPgYM9hb5nzmS5edP0emFUICg42PTnuQ9yaN02jQqkkOJtkJgslJRGckMRXzyfR1JYE0VZ7fWilJJ58Ngn+L+Ncq3ntzAtJWE4kwcuOe3SxWukSkgQ9kuyhhuRkhmaGnBccYadccjL3JjsFoORksNkonfWnyfvOnzerU+QTBSZcHTx48KrnTJ06lalTp3rUS5YsyRdffMEXX3yRG00TuSn5+UGzZp71f/8b/vlP11pCgglj7lMc//jD/KbLfS7X00+bHPXxx47anj3mG+Tzz5tvMlgs5jvlLbe4znQF803g6FHznfPIkayPY8euPLD6+HFzbN58+XPKlr16ANPeXiIiV3XypJle26aNa2/D2LFmb3rnsLNhgxkOt2KF63D1fv3MLwIjI13vO3iw6W1xDle//WYGODiHq2LFTN5wD0FZBSPS0ylXPImUE1aIt5oLrVYqn0miTaCVpB+sFPVx1N+oaKXCqSQY76jdecrK9nZWwkZZweYIO/MSk/C5kAT3OMJODauVs6Uywk6S43g2NdW057+OpvkDTwKMc21y2YzDXYGfpZzV1IE8VGDClYgUDAEBptfJWXCwGdnnLjzcjDV3/kaakmLOde9Y/vlnM+HW/ZdT//iHGW4xcKCjZgsIxFK1qulCu5yUFBPALhe+jhwxr7sPDHd26pQ5tm27/DmlS3sOQSxb1kxICwkxHzP/HBysxThEJF+z2czP9c4d9+npZpW3Ro3McLJMy5bBt9+alWad1a5tlrx2/nq+fLmZS3PpkmMhA4DZs819ncNVejrs25PG+fgkwotkhJXEROqkW0mKs8LPjgBTLi6RPlgpNd8KOxz1R7ZZaXowCZ5z1AKtVn4qYeW2j6wwOcleH3rWyuA0K4Ra7QGI5GQOAryfcWS4L+PgAddn/nvmH2Y5asFAwyz+jYtmUctX/P3NN3vnIzAw72r5bPVghSsRyTN9+5rDWUqK6f1y74zav9+sUeE+Ei8y0jPMLV5ser927nTtFTt0yAy9KFYM882hShXPmbLOUlNND9eVAlhcnDnvcs6eNcfOnZc/J5Ovb9ah62p/VigTkWxISTFzh265xfxMmmnFCrOBasa6X4BZgKFPHzOv9s47HfV//tPMCfp9l5lXg9WKJdHK8EesfPBOItW6O8JK0ndWTk2xwt8S7TWsVp44aaXxIiucdtTv2W9lNlYsD1sh3VGfvdtKkT1W+MERolokWkkjBdxGT9gHO7R21MoAMwE+cT333sw/fOpavwdgh2utSMaRZwIDXY+gIM9abr6WeQQEmO+dblNwxJXClYjkK0WLZj10evBgM3HY2V9/mSEf7vO+9u0zr4WEuNY7dzbzvv7rNHziyBEz9apz5yymUPn5OXqbLic93QwfvFIAO3Ike8MW0tLMA508efVz3dvpHrqyE8qKF1coEylAduww/9vae4fS0ti/08o306wM/4eV4r6OUPKfUVZKBVkZ2M8RauL3WflwlJV/DbNSsayjzmIr/metEOm4vkSClTfXWKm1zwpFHOeOPmtltNUKflZ7z74FOAzwdsaRoXvG4ei2MV4BiM44MlTKPM1tFTf7dkpOw/Ju2I/2FovpRgsKcoSPzD87H96oXy7s+Pvr63QBo3AlIgXCrbeaw1mJEmYcvPOkYTDDVlq2dP1+lJYGBw6YYYTOVq0y+1okJLjWBw40e4T07++onTgBv/9u7m1fTNDHxyzvHhaW9SS0zAadPOkYanj6tJk5feaM48/uNY8B/leQmmoad+JE9q8B803bOXSVLm1+citWzBxFi7p+zKrm/lrmZiMihVV6usucF/swsYw/26xJJF9IwifZin+6o37scBInYpNoWMv1/KjlSVSrkETlUEf96KEk/txlpVWzJCxO7xEak0RxPyv4ZdRSU6kJvAkw3rWZ9t9RzXXUKpPRUeN2rn2tIacha/5AKwC3Id32IWvXuRdQtjmHm8wjuzX3emBgzsKSn5++nkmOKVyJSIGW1VDrF180h7NLlyAiwjP//PGHyUXu604sWuQ5YvCnn8w+I+fOua7U3revWdnwzTcdtRMnzL4jXbtCyZIWs2lJaKjnUvOXk5JihhNmFcSuFMrcU+LV3iNz4Q5v8fXNWRjLyWuZQ1L8/PRDT2GUnu662lhysvlv1L2Wy/Xki8nYklMITHeEnXRrEqkJJixZstqR1IkFCMyiXj7jcNcW4DfXWoWMgw2e9+AKo5Bzg83PD8vVAox7MHE+73rCkX5ZIwWQwpWI3BSCg2HaNM96x46uE7DB/Ix3+rTnKoYnT5qf7e17eWT49VeTm5xt3w6PPWYW53DeNLJXL5MTnBc2PX3aTPju399pBKK/P4nBoQSWDc3Z8Pbk5GsLZVntFnkt0tJMr1tOet6ula+vI2xd6WN2zrnea3P6A+CVVqr09jXp6aZ3My0tZx+v5ZqcfswMNykpppYPZLXDnc9l6jdE5qT9oCAupJghY8EhjgCT6l+Ec9YgSpYPwr/4VYJPTo/AQCzadF0kR/Rv52LmAAAgAElEQVR/jIjc1Fq2NIczi8VkDvfhho0amU0j3X+OTkpy3aMEzCKC4BnQYmLMSlnODh409+3UyXV61+DB8OefsHato5aQYHrlnn0Wlw0Tjx83P5tWqBDgWKI+J5KSTCi7eNF08zl/vJ5a5k7RuSEtLd/8QC6FS7IlgIDijnkv6QGB/P5nEBWqBlKmvKO+91Agew4G0q1XkMtcmTnfBlK/SSD1mjrqsSeD+O2PQO57MBDfoo563OkgiocEUjLUbVGBLHpugrNoqx9ZL68tInlD4UpExE3mjvXusgpiYMKRe6dC06bwySeeww3LlIHq1V1rmetXZBXQ3BflOH4cPv8cevZ0rf/73/Djj2afmEyJidClixmu2Lato/7992Z/l7edJp4TGMjMFeVp3BjqOYW2EyfMVLHGjV1DZVJSDhaNSk83ISu7Yexyr6WkOHo7nP+c3Y/X0vMj18bXF/z8sPn68tclP4KK+RJYNGM4p68vZxP8OHfBl6o1XZd0XvtLABWrB7jU/4gNIGpdAE8MCsA3KMC+DPSkrwIIrxpA10cc1+8+4M+7/wlgzPgAyld21F99J4AU/Bkz3lGLOxnAQ70CmPBlAM1aOt7v/2b6cvCQhXfecTyOxQa/z4MSLaBMZUf91iSo7ovHT1O9/uP5T1Ip43AXnkVNRAouhSsRES9w782qVctz02SAJUs8a02bwsKFnp1NtWp5Bq7LBbGTJz1rly6ZBTuGDHGtr10LX3/tFq6AQYPgvfegXj1HbeFCswiIewdRo0ZmhcWPPnLUfvrJ9LZFRbk+y4hRPpQqVZxhwxwT5I4fhy++gCefdN0EdPNmEwpbOy2lnJZmltGvUMF1/5vTp80zVnL7iXXvXvP+pUo5aqdOwfH4dOrVcg1ou3emUiY4hVtCHEHs3MkUYg+mUqdGCn446n/uTSHQN5XwUMc9Lv2VyuE/Uqha1XW1yZgYkymdF2FJTjYLolSrlhHeM/6j2b/fzONzng+Ymgbz5polsJ2HrW7cZGHTJtNz6eydd+Duu+Heex219evhqykw6XNf/IN87cHmxVf9qHmbL4Oe9bOHoG07fRn6Tz++nu1LpaqO+tDhviSn+/HZl47rD8f5cWcrX+Yt8OPuto768y/68VO0L1u3+9ifLS0VSvnDlE/Mpq+ZvhoDo0fDud2uzxFREZ6KwCXY7FkM7w01gSXYqevmRAAUqQI87qiVOQ7t60JQd8Dp8z+sfkZPtNP/I+G3wcY4PPR/3LNmsZj5lu4Cs5pcJSI3NYUrEZE8FhoK3bt71seO9aw1bGgCiPsmy82be672brWaj0WKeNbdl5232Uz9cue6h8eszj1zBvbs8RxOuWqV5+IgR47AW2+Z5fWdw9XYsea1qCjX+9aoAUuXmqGTmd5912xSutvtB/TatU1wc95YesYMeOstHy5cCHT5ifi+/ibgjRjhOPfHefDok2aUpHNA6/M21KkDU6Y4ajs2wF1DzDZm9es76i9mLHyy/D1H7cQRaPycaXPHjo76p8Ng1XrY+YWjZkmD3v+Ar/pCtScd9TXnYdQcePYp12ee/A5YasO9TvXYEiZcfdTLdd7fz+PgbAUY1MVRswbDWuB8fajk9BzHQ82/P06/KPD3h+PAhUCgtKMeWhFKhWBWdMjg5wePP+650mfHjlA+i9Udfv7Z9d8cTO9rly6e57r/cgBMqH78cc96Vu8lIpIbFK5ERAqQokWzXnBw2DDPWoUKZjSdv79rfehQz82bwSyq4dxjBGZel/vy9WDa4D680WYzP8S7h67ERM8wl5Pgl3mu+6g+i+XyI/2ye25W9cwg6e33u9x9g4LMMEtnGR1H9me/0rlgwkvRoq61ihVdQ1ymiAjPXs7q1U0gDQtzrY8Y4dlrWb686Ql0Hzr72mvmcOe8eEum+vVdw2imK+3pLSJSEChciYgUUhaL5w/cYH6Adf8h1mJx7enJ1K6dOdxFRnrWHn7YHO6WLPGcm1Wnjqm7D+nr08eMuHMWEGDq7r0PTZpkvUjf44979uw1aJB1j0b//qbXz1nNmvD8855Dvvr29VygJDwcXn/dM6w8+qgZsuisRAkz7NJ9uGivXtCihWfb1q/3/Dw9/bTpaXMXHe1Za9nS9JK5GzrUs1auXNaff/fFV8B8Lt3nAoqIiGGx2TTDNytbtmyhadOmbN68mSbZ3ZdGREREREQKnexmg5zsniIiIiIiIiKXoXAlIiIiIiLiBQpXIiIiIiIiXqBwJSIiIiIi4gUKVyIiIiIiIl6gcCUiIiIiIuIFClciIiIiIiJeoHAlIiIiIiLiBQpXIiIiIiIiXqBwJSIiIiIi4gUKVyIiIiIiIl6gcCUiIiIiIuIFClciIiIiIiJeoHAlIiIiIiLiBQpXIiIiIiIiXqBwJSIiIiIi4gUKVyIiIiIiIl6gcCUiIiIiIuIFClciIiIiIiJeoHAlIiIiIiLiBQpXIiIiIiIiXqBwJSIiIiIi4gUKVyIiIiIiIl6gcCUiIiIiIuIFClciIiIiIiJeoHAlIiIiIiLiBQpXIiIiIiIiXqBwJSIiIiIi4gUKVyIiIiIiIl6gcCUiIiIiIuIFClciIiIiIiJeoHAlIiIiIiLiBQpXIiIiIiIiXqBwJSIiIiIi4gUKVyIiIiIiIl6gcCUiIiIiIuIFClciIiIiIiJeoHAlIiIiIiLiBQpXIiIiIiIiXlAgwlVycjKvvPIK4eHhFC1alBYtWrBixYpsXbtixQratWtHuXLlKF26NHfeeSczZ87M5RaLiIiIiMjNpkCEq/79+zNu3Dj69evHf//7X/z8/OjcuTPr1q274nWLFi3i/vvvJyUlhREjRvDee+9RtGhRHnvsMcaPH3+DWi8iIiIiIjcDi81ms+V1I65k48aNtGjRgo8++ojhw4cDkJSURP369bnllluIjo6+7LX3338/v//+OwcPHsTPzw+AtLQ0ateuTfHixdm6detlr92yZQtNmzZl8+bNNGnSxLsPJSIiIiIiBUZ2s0G+77maP38+fn5+DBw40F4LDAxkwIABrF+/nri4uMte+9dff1G6dGl7sALw9fWlbNmyFClSJFfbLSIiIiIiN5d8H662bdtGrVq1KF68uEu9efPm9tcvp23btuzatYu33nqLAwcO8OeffzJq1Cg2b97MK6+8kqvtFhERERGRm4vf1U/JW/Hx8YSFhXnUw8LCsNlsHD169LLXvvXWWxw8eJB3332X0aNHA1CsWDEiIyN58MEHc63NIiIiIiJy88n3PVeJiYkEBgZ61IOCguyvX05AQAC1atWiZ8+efPPNN3z99dfccccd9OnTh40bN+Zam0VERERE5OaT73uuihQpQlJSkkfdarXaX7+cZ599lo0bN7JlyxZ7rWfPntSrV49hw4axfv167zdYRERERERuSvk+XIWFhWU59C8+Ph6AChUqZHldSkoKU6ZM8Zhb5efnR6dOnZgwYQKpqakui11kZfjw4ZQsWdKlFhERQURERE4eQ0RERERECoDZs2cze/Zsl9r58+ezdW2+D1eNGjUiKiqKhIQEl0UtNmzYgMVioVGjRlled/r0aVJTU0lLS/N4LSUlhfT0dNLS0q4arsaOHaul2EVEREREbhJZdaRkLsV+Nfl+ztUjjzxCamoqX3zxhb2WnJzMtGnTaNGiBeHh4QDExsayd+9e+zmhoaGUKlWKhQsXkpqaaq8nJCTw3XffUadOnSzncomIiIiIiFyLfN9z1bx5c3r27Mmrr77K8ePHqVGjBtOmTePw4cNMnTrVfl6/fv1Ys2YN6enpAPj4+PDiiy/y5ptvcuedd/LYY4+RmprKV199RVxcHB9++GFePZKIiIiIiBRC+T5cAcyYMYM333yTmTNncvbsWRo2bMiSJUto1aqV/RyLxYKPj2tH3GuvvUa1atUYP348I0eOJCkpiYYNGxIZGUn37t1v9GOIiIiIiEghZrHZbLa8bkR+lDmucvPmzZpzJSIiIiJyE8tuNsj3c65EREREREQKAoUrERERERERL1C4EhERERER8QKFKxERERERES9QuBIREREREfEChSsREREREREvULgSERERERHxAoUrERERERERL1C4EhERERER8QKFKxERERERES9QuBIREREREfEChSsREREREREvULgSERERERHxAoUrERERERERL1C4EhERERER8QKFKxERERERES9QuBIREREREfEChSsREREREREvULgSERERERHxAoUrERERERERL1C4EhERERER8QK/vG6AiIiIiMjlxMTEcOrUqbxuhhRiZcuWpXLlyl65l8KViIiIiORLMTEx1KlTh0uXLuV1U6QQK1q0KLt37/ZKwFK4EhEREZF86dSpU1y6dImZM2dSp06dvG6OFEK7d++mb9++nDp1SuFKRERERAq/OnXq0KRJk7xuhshVaUELERERERERL1C4EhERERER8QKFKxERERERES9QuBIREREREfEChSsREREREREvULgSERERERHxAi3FLiIiIiJSSCUlJfHBBx8wbtw42rRpQ7NmzbDZbBw4cIDk5GQ+++wzihcvzoULF/j444/5z3/+Q9u2bWnZsiUAly5dYsmSJVSpUoX//e9/AFy8eJExY8YwceJEmjdvznfffefxvt9++y0PP/wwgwYNonv37tx333039LnzisKViIiIiEghFRgYyEsvvcT777/PRx99RLVq1eyv1atXjw8//JCRI0cSHBzMsGHDGD16NO+//z7169e3n/f666/z2muv2f9erFgxXnjhBWJjY/npp5883jMuLo5NmzZRrVo1Jk6cmK12Lly4kIceeug6njR/0LBAEREREZFCbO3atZQtW9YlWKWnp5OQkECRIkXstZUrV1K6dGl7sDp8+DAARYoUoWrVqi73XL16NU8//TSHDx8mLS3N5bWoqChSU1Np3759ttq3d+9eZsyYcU3Plt94NVylpKSwZs0avvnmG+bNm0d0dDSJiYnefAsRERERkZvKt99+y913303RokXx8fEhJCSELl268OCDD9KxY0caN26Mv78/Pj4+HDt2zOP6lStX0qZNG/vf09PTeeaZZ2jcuDEvvviivb5ixQr7eTabjcmTJ9tfGzRokMs99+3bR/PmzSlTpgwHDhyw1xcvXkyXLl1YsWIFHTp0yNbzzZo1i4iICK88a17z2rDABQsW8O6771KpUiWCg4NJTU3lr7/+4sCBA7z//vt0797dW28lIiIiInLT6NatG926dePzzz/nmWeeYciQIYwYMcLlnIMHD9KhQwdiYmIoX768y2srV66kWbNmzJ07l9TUVJYuXUq5cuXsc6gyrVixggYNGvDvf/+btWvXUrduXftrgYGBWbatZs2a7N+/n1q1anHo0CHKlClDWloaO3fupF27dtl6vsWLF9uHHV7vs+Y1r4WruLg4Nm/e7FFPT0/ngw8+ULgSEREREbkOQUFB2Gw2fH19PV6rWrUqb7zxBjExMTRv3txeP3PmDNu2beO7774jLCwMgN69e9O1a1eGDRvG+PHjATME8MCBAyxfvpyqVavStWtXYmNjAYiNjaVSpUr2e8bHxxMeHg44whXA+vXriYiIYP78+dx+++2UKlXqqs/066+/Ur9+fY/wdi3Pmh94bVhgcHBw1m/g40O5cuW89TYiIiIiIpKFli1bEhMT41JbtWoVderUsQerTJUrVyY6Otr+9x9//JHq1avb51ZVr17dPqwvMjLS5dqVK1fa51PVrFmTffv28e2339K1a1eAHA8J7N27dw6e0sjqWfMDr64WeNddd9G0aVNKlCiBn58fFy5cYPv27XTr1s2bbyMiIiIiIm6qVatGSEiIS23lypV07NjRpfbbb78xa9YsJk2aZK+tWLHC5bygoCAAJk2axB133OFy/dGjR+2dJzVq1GDmzJk8/vjjFCtWzH6vL7/88qrttdlsREVFMWbMmBw8pZHVs+YHXgtXjz/+OPfffz9r1qwhLi6O9PR06tSpw6uvvkpoaKi33kZERERERLLg5+dH//79Adi9ezezZ89m3rx5tGnThpEjR2Kz2Th9+jRxcXH2hSO2b9/OvHnzWLJkCe3bt+e9997DZrNx4cIFoqOjsVgsrF27FjCh7NNPP2XRokXYbDZeeeUV6tSpQ8eOHWnevDnLli1j8eLFHDx4kKVLl1KpUiVq1Khx2fauXr2aVq1a4eOT88F0zs+an3i15yosLIxevXp585YiIiIiIpJDderUYeTIkYwcOfKK591+++3cfvvtjB49+qr3rF+/Pp999hmfffaZS+2jjz4CoFOnTnTq1IkJEyZkq42zZs1iwIAB2Tq3oMhxTIyKimL69Om8++67jB49GpvNlhvtEhERERG5Zh9/DG6j2QCoXRu++MK1NmsWVKzoeW67duC2UB1RUebc+HjXehbruskVJCcns3XrVu666668bopX5ThctWvXjgMHDvDss8/yxhtvYLFYcqNdIiIiIiLX7K+/IKttkI4ehYQE19qlSxAX53nu8eNw/rxrLSnJnOu2by7JydfX3pvNsmXLPOaCXY/NmzczbNgwZsyYweDBg1323rqRcjwssH79+h5rzYuIiIiI5CclSkBWWyBVqADFi7vWihaFjJXFXdxyC5Qs6VoLDDTnuq8QHhBwfe292cyePZu33nrLK/dKTk6mR48ebNy4kdDQUOrVq0dERAQbN270yv1zIsc9V/Xq1cuNdoiIiIiIeM0LL8Cvv3rW9+yBp592rfXuDUeOeJ67ahW8/bZrrW1bc67byuY0bXpdzc3XPv74Y0qUKMHBgwe9cr+EhARiYmJcNim+HmvWrCE4ONi+iF6TJk3YvXs3hw4d8sr9cyLH4SpzWcbsGD58eE5vLyIiIiIi+Ui3bt0oW7asfQ+s67Vw4UK6d+/ulXsBHDp0yGNZ9tKlS7Nr1y6vvUd25ThcpbkPML2CvHggEREREZHCKDExEYBLly7d0PddtmwZ9913n9fu98033xAREXHFc3LyrKdOnaJo0aIutaCgIC5cuHDtjbxGOZ5zFRkZSWxs7FUXskhPT2fdunXX3DAREREREYFFixYxZswYNm/ejMViYcyYMSxfvpzy5csTGRlJkSJFPK6Jj49n7ty5REZGEhYWRs2aNZk4cSLx8fH4+fkxYsQIwsPDSUpKYuXKlYwbN87eM5WWluby+vz583n++ee98iwnT57EarVSqVIlrz1ryZIlPVYwT0hIoGzZsl5pc07kOFwlJyeTnp6erc2+tJKgiIiIiMj16dq1K127ds3RNTt27GDo0KFMmzaNIUOG8OijjzJw4EACAwMZOHAgDRo0YNCgQZw4cYJXX32VcKcVPQYPHkzdunUZNGgQZ86c4cUXX6R9+/ZeeZa5c+fSs2fPy75+Lc9au3ZtvnBaXz8tLY0zZ85QpUqVa27ntcpxuOrQoQNLly7N1rldunTJcYNEREREROT63H///Zw5c4ajR4/y6KOPAlClShV27NjBnDlz+PTTTwETwlq3bk1AxnKHma+fPHnS/vdmzZpRokQJr7Rr/vz5REZGeuVeme655x5OnjzJkSNHqFixIlFRUdSrV4+aNWt69X2yI8fh6tlnn832uf/4xz9yensREREREfGClStX0qZNG49a69atCQwMtP+9Q4cOnD9/npIlS2b5+n333Wd//XocPnyY4OBgypQpc133cefr68uMGTN49913ueuuu4iKimLOnDlefY/syvGCFg888ECunCsiIiIiIt6zYsUK2rVr51IrVaoUYRnryF+4cIEFCxbQpk0bZs6cCZhV9jJfT0hIIDIyknvvvdf++vWYPXs2f//736/7Pln529/+xqRJk3jssceYMmUKNWrUyJX3uZochasffviBixcv5lZbRERERETES/bv30/Hjh1dahEREVgsFubMmcP8+fPp06cPP/74oz2MRERE4Ovry5w5c5g3bx59+vQhKiqKatWqXXd7fvnlF68uwZ4f5WhY4Llz5xgwYAC+vr507dqVBx980GPZw9yQnJzMm2++ycyZMzl79iwNGzZk9OjR2Z5YN2fOHMaPH8+OHTvw9/enbt26vPvuu7Rt2zZ3Gy4iIiIikkdWrVrlUQsKCmLy5MmXvSYwMNBlcQhvWrhwYa7cNz/JUbjq1asXvXr14sKFCyxatMgetB588MFcDVr9+/dnwYIFDB8+nBo1ajBt2jQ6d+5MVFQULVu2vOK177zzDqNGjaJnz5488cQTpKSk8NtvvxEXF5crbRURERERkZtTjhe0AAgODqZPnz706dPHJWj5+fnZg1ZWa9Bfi40bNzJnzhw++ugjhg8fDkC/fv2oX78+L7/8MtHR0Ze9dsOGDYwaNYqxY8cydOhQr7RHREREREQkKzle0MJdZtCaPXs2EydOJDU1lQEDBtCvXz/mzZtn3135Ws2fPx8/Pz8GDhxorwUGBjJgwADWr19/xR6ocePGERYWZg9Wmi8mIiIiIiK55brDlbPg4GB69+7NrFmzmDhxIikpKTz11FP079+f+fPnX1PQ2rZtG7Vq1aJ48eIu9ebNm9tfv5xVq1bRrFkzxo8fT7ly5QgODqZChQpMmDAhx+0QERERERG5kmsaFpgdmUGrd+/eJCQksGjRIp566ilKlCjBpEmTsn2f+Ph4+3KQzsLCwrDZbBw9ejTL686dO8epU6eIjo5m1apVvPPOO1SqVImpU6fy3HPPERAQ4NIbJiIiIiIicj1yLVw5K168uD1opaen5+jaxMRE+yZmzoKCguyvZyUhIQGAM2fOMGfOHB555BEAevToQYMGDRg9erTClYiIiIiIeI3XhgUmJSVl7w19cvaWRYoUyfLeVqvV/vrlrgPw9/enR48e9rrFYqFXr14cOXKEI0eO5KgtIiIiIiIil+O1nqsqVapQq1Yt2rRpw9/+9jdatWpFYGAgy5cvJzk5mS5dulzTfcPCwrIc+hcfHw9AhQoVsryuTJkyBAUFUbp0aSwWi8troaGhAJw9e5aKFSte8f2HDx9OyZIlXWoRERFERERk+xlERERERKRgmD17NrNnz3apnT9/PlvXei1cTZo0iXvvvZfo6Gjef/99zp07R4kSJbjnnnu4dOnSNYerRo0aERUVRUJCgsuiFhs2bMBisdCoUaMsr8t87ddffyU1NRU/P8ejZq4wWK5cuau+/9ixY2nSpMk1tV1ERERERAqWrDpStmzZQtOmTa96rdeGBT700EOUKFGCzp0789xzz7Fx40bmzp1L9erVufXWW6/5vo888gipqakuO0UnJyczbdo0WrRoQXh4OACxsbHs3bvX5dpevXqRlpbG//3f/9lrVquVr7/+mnr16lG+fPlrbpeIiIiIiIizXFnQYtOmTbRr144yZcrQp08fli1bds33at68OT179uTVV1/l+PHj1KhRg2nTpnH48GGmTp1qP69fv36sWbPGZcGMQYMGMXnyZJ599ln27t1L5cqVmT59OrGxsSxevPi6nlFERERERMRZroSr3r17c/fdd9OoUSNuv/12Dh06RKdOna75fjNmzODNN99k5syZnD17loYNG7JkyRJatWplP8disXgslhEUFMTq1at5+eWXmTp1KhcvXqRRo0YsXbqU9u3bX3N7RERERERE3OVKuKpduzbR0dEsWLCAkydP8sorr1zX/QICAvjggw/44IMPLnvO6tWrs6yXLVuWKVOmXNf7i4iIiIiIXI3X5lw527p1Kzabjb59+1K/fn22bNmSG28jIiIiIiKSb+RKuHr33Xe5++67adOmDT///DNr167NjbcREREREZF85MSJE3z//ffZPn/hwoW52JobL1fCVf/+/dmyZQsLFiygZs2aVKlSJTfeRkRERERE8pEvv/yS6OjobJ27d+9eZsyYkcsturFyJVxt2rSJixcvEhISQp8+fRSuRERERESu0bfffsvdd99N0aJF8fHxISQkhC5duvDggw/SsWNHGjdujL+/Pz4+Phw7dixP2/rjjz9y//33Z+vcWbNm2feTKkjPeCW5sqBFRESEV1cLFBERERG5WXXr1o1u3brx+eef88wzzzBkyBBGjBjhcs7Bgwfp0KEDMTEx9r1cbTYbH3/8Mf7+/pQsWZIzZ84wfPhw1q9fz+7du9mxYwctWrTg/PnzfP/994wdO5Zbb72VtLQ0RowYQXh4OElJSaxcuZJx48ZRtWpV+/v997//JT09neDgYNLT0wkPDyc6OprNmzezdu1a/vrrLx544IErPtfixYt57bXXrusZ85tc6bmqU6cO0dHRtGvXjvT0dF5++eXceBsRERERkZtGUFAQNpsNX19fj9eqVq3KG2+8QUxMjL02aNAg0tPTGTp0KD179uTUqVMkJCSwd+9ennzySdq3b8/48eMZNGgQxYsXp0iRIgAMHjyYsmXLMmjQIP7+97+zYsUKwsPD7fcdPHgwycnJPP/885QrV46ZM2fSuXNnWrVqRevWrXnttdeuGqx+/fVX6tevT2Bg4HU9Y36TKz1XTZo0Yf369fTt2zc3bi8iIiIiIm5atmzJ4sWLAdizZw8zZ87k888/5+uvv8ZqtfLKK6/g7+9v/xn9l19+4aGHHgKwz33asWMHc+bM4dNPP7X/vXXr1gQEBABm+s/ChQs5cuQIAO3bt6dly5YALF++nHbt2mWrrbNmzaJ3797X9Yz5Ua6EqwEDBnikUBERERERyT3VqlUjJCQEMKGofv369OvX77Ln//DDD0yaNAmAv/76ixIlSrBy5Upat25t/1l+5cqVdOjQgfPnz1OyZEnWrFlD27Zt8ff3B6Bo0aIULVoUMOEqM6SdPHmScuXKZfm+NpuNqKgoxowZc13PmB/lyrDApUuXMnz4cKKjo0lLS8uNtxARERERESd+fn70798fgFq1ahEUFOTy+rRp01i8eDFjx47l8OHD7Ny5k8aNGwMwffp0AEqVKkVYWIFdeZ8AACAASURBVBgAFy5cYMGCBbRp04aZM2cCUKFCBYoVK2a/Z3p6OtOnT+fMmTMcOXKEpk2bsmLFiisO3Vu9ejWtWrXCxyfnUcT5GfOjXOm56tChA+Hh4cyYMYMhQ4ZQp04dZs+enRtvJSIiIiIibho1akSPHj3473//S0hICImJiTzwwAP88MMPHDx4kMWLFzNq1CjGjRtHsWLF6NWrF2AWpvv555+ZM2cOly5dok+fPvz44480bdrU/vrvv//O5MmTCQoKIikpiYceeohSpUrRtm1bZs6cSenSpe3nZ2XWrFkMGDDghvw73Gi5Eq4aNWrELbfcQs+ePQE4ffp0bryNiIiIiIinO+6AvFiuu3x5+PXXG/++lzFs2DCP2uOPP87jjz9+2WuCgoKYPHnyFe87atSoLOvffffdVduUnJzM1q1bueuuu656bkGUK+Gqbdu2Ln/Pz+MiRURERKSQOXYM4uLyuhWShWXLltGxY8e8bkauyXG4ioqKIiYmhtjYWGw2G6+//joWiyU32iYiIiIiknN5tQdSPt17KT+ZPXs2b731llfvuXnzZqZPn84dd9zBzz//zEsvvUT16tW9+h7ZleNw1a5dO958802GDx9OqVKlcqNNIiIiIiLXLh8NzSsMPv74Y9555x22b9/uspFwTiUkJBATE0PdunW91rbk5GR69OjBxo0bCQ0NpV69ekRERLBx40avvUdO5HiJjvr16zNixAgFKxERERGRm0C3bt0oW7bsdQUrgIULF9K9e3cvtcpYs2YNwcHBhIaGAma/3d27d3Po0CGvvk925Thc1atXLzfaISIiIiIiV5CYmAjApUuXbuj7Llu2jPvuu++67/PNN98QERFxxXNy+oyHDh3yWN+hdOnS7Nq169oaeZ1yPCzQfb38Kxk+fDhjx47N6VuIiIiIiEiGRYsWMWbMGDZv3ozFYmHMmDEsX76c8uXLExkZSZEiRTyuiY+PZ+7cuURGRhIWFkbNmjWZOHEi8fHx+Pn5MWLECMLDw0lKSmLlypWMGzfO3jOVlpbm8vr8+fN5/vnnr+sZTp48idVqpVKlSl57RoBTp07ZNzHOFBQUxIULF66rvdcqx+EqJ5sC51ViFBEREREpLLp27UrXrl1zdM2OHTsYOnQo06ZNY8iQITz66KMMHDiQwMBABg4cSIMGDRg0aBAnTpzg1VdfJTw83H7t4MGDqVu3LoMGDeLMmTO8+OKLtG/f/rqeYe7cufZtmrJyLc8IULJkSWw2m0stISGBsmXL5vhe3pDjcBUZGUlsbOxVVwhMT09n3bp119wwERER+f/27j2qqjL/4/jnIHI3E9E6kJmX0EqRvBB4z7todvOSk6Cl5jjTYKaD2S+raXQlZurSpmm0JltiDnnpMlqWmCQqSqZmlrecJAU0DS/cUdi/P1qePB1AtM3hHHm/1nKt4bufvfez+fas8ePeZx8AuDb9+/dXTk6OsrKyNHz4cElS06ZNtXfvXiUlJem1116T9EsI69q1q7y8vGw/JyUl6dSpU7afO3XqpBtuuOF3zWfVqlVavXr17zpGeVq3bq3Fixfbfi4tLVVOTo6aNm1q+rmq4qo/c1VSUqKysjIZhlHpH0m8oh0AAACoIRs3blSPHj0cal27dpW3t7ft5759++rcuXMVbu/Xr59t+7XIyMhQvXr1FBgYeM3HqEj37t116tQpHT9+XNIvXxt111136fbbbzf9XFVx1Xeu+vbtq48//rhKYwcPHnzVEwIAAADw+yUnJ6tXr152tRtvvFFWq1WSlJubqzVr1igxMVGJiYn685//rAYNGti25+XlafXq1Vq8eLFt+7VYsWKFHnnkkd93MRWoU6eOli1bplmzZikqKkopKSlKSkqqlnNVxVWHq6v5pU6cOPFqDw8AAADABIcPH9b06dPtaiNHjtTWrVuVlJSkgoICPfroo9qwYYM6dOhg275t2za77SkpKbbt12LHjh2Ki4v7XddSmXvvvVf33nuvJCk2NrbazlMVVx2uBg0aVC1jAQAAAJjn888/d6j5+PjozTffrHAfb29vu88wmeH999839Xiu7Ko/cwUAAAAAcES4AgAAAAATEK4AAAAAwASEKwAAAAAwAeEKAAAAAExAuAIAAAAAExCuAAAAAMAEhCsAAAAAMAHhCgAAAABM4FnTEwAAAAAqs3///pqeAq5TZv+3RbgCAACASwoKCpKfn59GjRpV01PBdczPz09BQUGmHItwBQAAAJd06623av/+/Tp9+nRNTwXXsaCgIN16662mHItwBQAAAJd16623mvYXX6C68UILAAAAADAB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwAeEKAAAAAExAuAIAAAAAExCuAAAAAMAEhCsAAAAAMAHhCgAAAABMQLgCAAAAABMQrgAAAADABIQrAAAAADAB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwgVuEq5KSEk2bNk0hISHy8/NTZGSkkpOTr/o4ffv2lYeHh+Li4qphlgAAAABqM7cIV6NHj9aCBQsUExOjhQsXytPTU9HR0dq2bVuVj7FmzRpt375dFoulGmcKAAAAoLZy+XCVnp6upKQkzZ49W7Nnz9a4ceO0ceNGNW3aVPHx8VU6RnFxsaZOnapnnnlGhmFU84wBAAAA1EYuH65WrVolT09PjR8/3lbz9vbW2LFjlZaWpszMzCseIyEhQYZhaOrUqdU5VQAAAAC1mMuHqz179ig0NFQBAQF29YiICNv2yvz4449KSEjQnDlz5O3tXW3zBAAAAFC7uXy4ys7OltVqdahbrVYZhqGsrKxK958yZYrat2+vYcOGVdcUAQAAAECeNT2BKyksLCz3jpOPj49te0U2bdqk999/X+np6dU2PwAAAACQ3CBc+fr6qri42KFeVFRk216e0tJSTZo0SbGxsWrfvv01n3/y5MmqX7++XW3kyJEaOXLkNR8TAAAAgGtasWKFVqxYYVc7d+5clfZ1+XBltVrLffQvOztbkhQcHFzufu+8844OHTqkxYsXKyMjQ5JsbwrMzc1VRkaGGjduXGE4u2T+/Pm/K5wBAAAAcB/l3UjZtWuXOnTocMV9Xf4zV+Hh4Tp06JDy8vLs6pe+syo8PLzc/Y4dO6YLFy6oc+fOatasmZo1a6bmzZvLYrHonXfeUfPmzbVhwwZnXAIAAACAWsDl71wNHTpUc+fO1eLFi/X0009LkkpKSrR06VJFRkYqJCRE0i9hqqCgQK1atZL0S+K8++67HY73wAMPaNCgQXriiSdsbxwEAAAAgN/L5cNVRESEhg0bpunTp+vkyZNq2bKlli5dqoyMDL399tu2cTExMdq8ebPKysokSaGhoQoNDS33mM2aNdN9993nlPkDAAAAqB1cPlxJ0rJlyzRjxgwlJibqzJkzCgsL07p169SlSxfbGIvFIg+PKz/laLFYZLFYqnO6AAAAAGohtwhXXl5eSkhIUEJCQoVjNm3aVKVjlZaWmjUtAAAAALBx+RdaAAAAAIA7IFwBAAAAgAkIVwAAAABgAsIVAAAAAJiAcAUAAAAAJiBcAQAAAIAJCFcAAAAAYALCFQAAAACYgHAFAAAAACYgXAEAAACACQhXAAAAAGACwhUAAAAAmIBwBQAAAAAmIFwBAAAAgAkIVwAAAABgAsIVAAAAAJiAcAUAAAAAJiBcAQAAAIAJCFcAAAAAYALCFQAAAACYgHAFAAAAACYgXAEAAACACQhXAAAAAGACwhUAAAAAmIBwBQAAAAAmIFwBAAAAgAkIVwAAAABgAsIVAAAAAJiAcAUAAAAAJiBcAQAAAIAJCFcAAAAAYALCFQAAAACYgHAFAAAAACYgXAEAAACACQhXAAAAAGACwhUAAAAAmIBwBQAAAAAmIFwBAAAAgAkIVwAAAABgAsIVAAAAAJiAcAUAAAAAJiBcAQAAAIAJCFcAAAAAYALCFQAAAACYgHAFAAAAACYgXAEAAACACQhXAAAAAGACwhUAAAAAmIBwBQAAAAAmIFwBAAAAgAkIVwAAAABgAsIVAAAAAJjALcJVSUmJpk2bppCQEPn5+SkyMlLJyclX3G/NmjV65JFH1KJFC/n7+6t169aaOnWqzp0754RZAwAAAKhN3CJcjR49WgsWLFBMTIwWLlwoT09PRUdHa9u2bZXuN2HCBB04cEAxMTFatGiRBg4cqNdee02dO3dWcXGxk2YPAAAAoDbwrOkJXEl6erqSkpL06quvavLkyZKkmJgYtWnTRvHx8dqyZUuF+65evVrdu3e3q7Vv316jR4/W8uXL9fjjj1fr3AEAAADUHi5/52rVqlXy9PTU+PHjbTVvb2+NHTtWaWlpyszMrHDf3wYrSXrwwQclSfv37zd/sgAAAABqLZcPV3v27FFoaKgCAgLs6hEREbbtVyM7O1uSFBQUZM4EAQAAAEBuEK6ys7NltVod6larVYZhKCsr66qOl5CQIE9PTw0dOtSsKQIAAACA64erwsJCeXt7O9R9fHxs26vq3Xff1b///W9NnTpVLVq0MG2OAAAAAODy4crX17fcN/sVFRXZtldFamqqxo0bp4EDB2rmzJmmzhEAAAAAXP5tgVartdxH/y59dio4OPiKx/j66691//33KywsTCtXrpSHR9Uz5eTJk1W/fn272siRIzVy5MgqHwMAAACAe1ixYoVWrFhhV6vq9+S6fLgKDw9XSkqK8vLy7F5qsX37dlksFoWHh1e6/5EjRzRgwADdfPPN+vjjj+Xn53dV558/f77at29/TXMHAAAA4F7Ku5Gya9cudejQ4Yr7uvxjgUOHDtXFixe1ePFiW62kpERLly5VZGSkQkJCJEnHjh3TwYMH7fY9efKk+vXrJ09PT61fv16BgYFOnTsAAACA2sPl71xFRERo2LBhmj59uk6ePKmWLVtq6dKlysjI0Ntvv20bFxMTo82bN6usrMxW69+/v44ePar4+HilpqbaHfemm25Snz59nHYdAAAAAK5vLh+uJGnZsmWaMWOGEhMTdebMGYWFhWndunXq0qWLbYzFYnH4LNU333wjSZozZ47DMXv06EG4AgAAAGAatwhXXl5eSkhIUEJCQoVjNm3a5FArLS2tzmkBAAAAgI3Lf+YKAAAAANwB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwAeEKAAAAAExAuAIAAAAAExCuAAAAAMAEhCsAAAAAMAHhCgAAAABMQLgCAAAAABMQrgAAAADABIQrAAAAADAB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwAeEKAAAAAExAuAIAAAAAExCuAAAAAMAEhCsAAAAAMAHhCgAAAABMQLgCAAAAABMQrgAAAADABIQrAAAAADAB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwAeEKAAAAAExAuAIAAAAAExCuAAAAAMAEhCsAAAAAMAHhCgAAAABMQLgCAAAAABMQrgAAAADABIQrAAAAADAB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwAeEKAAAAAExAuAIAAAAAExCuAAAAAMAEhCsAAAAAMAHhCgAAAABMQLgCAAAAABMQrgAAAADABIQrAAAAADAB4QoAAAAATEC4AgAAAAATEK4AAAAAwASEKwAAAAAwgVuEq5KSEk2bNk0hISHy8/NTZGSkkpOTq7RvVlaWhg8frgYNGqh+/fp64IEH9MMPP1TzjAEAAADUNm4RrkaPHq0FCxYoJiZGCxculKenp6Kjo7Vt27ZK98vPz1fPnj2Vmpqq5557Ti+99JJ2796tnj176syZM06aPQAAAIDawOXDVXp6upKSkjR79mzNnj1b48aN08aNG9W0aVPFx8dXuu8//vEPHTlyROvWrdOUKVM0adIkffbZZ8rKytKrr77qpCtwTStWrKjpKeAa0Tv3Re/cF71zT/TNfdE791Xbe+fy4WrVqlXy9PTU+PHjbTVvb2+NHTtWaWlpyszMrHDf1atXq1OnTmrfvr2t1qpVK/Xu3Vvvvfdetc7b1dX2//DdGb1zX/TOfdE790Tf3Be9c1+1vXcuH6727Nmj0NBQBQQE2NUjIiJs28tjGIb27t2rjh07OmyLiIjQkSNHlJ+fb/6EAQAAANRKLh+usrOzZbVaHepWq1WGYSgrK6vc/XJyclRcXFzhvpIq3BcAAAAArpbLh6vCwkJ5e3s71H18fGzbK9pP0jXtCwAAAABXy7OmJ3Alvr6+Ki4udqgXFRXZtle0n6Rr2lf6NXjt37//6ibsJs6dO6ddu3bV9DRwDeid+6J37oveuSf65r7onfu6Xnt3KRNc6eaMy4crq9Va7uN72dnZkqTg4OBy9wsMDJS3t7dt3NXsK0lHjx6VJI0aNepqp+w2OnToUNNTwDWid+6L3rkveuee6Jv7onfu63ru3dGjR9WlS5cKt7t8uAoPD1dKSory8vLsXmqxfft2WSwWhYeHl7ufxWJR27ZttXPnTodtO3bsUPPmzeXv71/hefv376/ExETddtttld7hAgAAAHB9Kyws1NGjR9W/f/9Kx1kMwzCcNKdrkp6ersjISM2dO1dPP/20JKmkpERt2rRRo0aNtHXrVknSsWPHVFBQoFatWtn2nTNnjqZPn64vv/zS9jr2gwcPqk2bNoqPj9esWbOcf0EAAAAArksuH64kacSIEfrggw/01FNPqWXLllq6dKl27typzz//3HZbrmfPntq8ebPKysps++Xl5enuu+9Wbm6upk6dKk9PT82fP1+GYWj37t1q2LBhTV0SAAAAgOuMyz8WKEnLli3TjBkzlJiYqDNnzigsLEzr1q2ze97RYrHIw8P+5YcBAQH64osvNHnyZM2aNUtlZWW69957NW/ePIIVAAAAAFO5xZ0rAAAAAHB1Lv89VwAAAADgDghXbm7nzp168skn1aZNGwUEBKhp06YaMWKEDh8+bDfusccek4eHh8OfO++80+GYhmFozpw5at68uXx9fdWuXTv95z//cdYl1Rrfffedhg8frhYtWsjf31+NGjVSjx49tHbtWoexBw4c0IABA1SvXj01bNhQsbGxOn36tMM4elf9qto31px7mDVrljw8PBQWFuawbdu2beratav8/f1ltVo1adIk5efnO4wrKSnRtGnTFBISIj8/P0VGRio5OdkZ06+1Kupbz549y1130dHRDsegb9Xviy++KLcfderUUXp6ut1Y1ptrqWrvWHOO3OIzV6hYQkKCtm3bpmHDhiksLEwnTpzQokWL1L59e+3YscPuL3I+Pj566623dPmToPXr13c45rPPPquEhARNmDBBHTt21Icffqg//OEP8vDw0PDhw51yXbVBRkaG8vLyNGbMGAUHB6ugoECrV6/WkCFDtHjxYo0bN06SlJmZqW7duqlBgwaaPXu2cnNz9corr2jfvn1KT0+Xp+evy5jeVb+q9k1izbm6zMxMvfzyy3Zf83HJnj171KdPH915552aP3++jh8/rldeeUXff/+91q1bZzd29OjRWrNmjSZPnmx76VJ0dLRSUlLUuXNnZ11OrVFZ3ywWi5o0aaLZs2fbrbvyvteSvjnPU089pY4dO9rVWrZsafvfrDfXdaXesebKYcCtpaWlGRcuXLCrHT582PDx8TFiYmJstTFjxhj16tW74vEyMzMNLy8vIy4uzq7evXt349ZbbzXKysrMmTjKVVZWZoSHhxt33HGHrTZx4kTD39/fOH78uK2WnJxsWCwWY8mSJbYavas55fWNNef6RowYYfTp08fo2bOn0bZtW7ttAwcONEJCQoy8vDxb7c033zQ8PDyMDRs22Go7duwwLBaLMW/ePFutqKjIaNmypdGlS5fqv4haqLK+lVcrD31zjpSUFMNisRirV6+udBzrzfVUtXesOUc8FujmIiMj7e5cSL/8i8Jdd92l/fv3O4wvKytTbm5uhcf74IMPdPHiRU2cONGuPnHiRB0/flxpaWnmTBzluvQvQGfPnrXV1qxZo8GDByskJMRW6927t0JDQ/Xee+/ZavSu5pTXt0tYc65p8+bNWrNmjRYsWOCwLTc3V8nJyYqJibH7svnY2Fj5+/vbrbtVq1bJ09NT48ePt9W8vb01duxYpaWlKTMzs3ovpJaprG+XKy0tLfeRskvom/Pl5eWptLTUoc56c30V9e5yrLlfEa6uUydPnlRQUJBdraCgQDfccIPq16+vhg0b6sknn3RYCHv27JG/v79at25tV4+IiLB9PxjMVVBQoJ9//ln/+9//NH/+fH3yySfq06ePJCkrK0s//fSTwy156ZeeXN4PeudclfXt8jGsOddTVlamuLg4jR8/XnfddZfD9m+++UYXL15Uhw4d7Op169ZVeHi4w7oLDQ11eEQtIiLCth3muFLfLjl06JD8/f1Vr149Wa1WPf/887p48aLdGPrmXI899phuuOEG+fj4qFevXvrqq69s21hvrq2y3l3CmrPHZ66uQ4mJicrMzNTMmTNtteDgYMXHx6t9+/YqKyvT+vXr9frrr2vv3r1KSUmxfUdYdna2brrpJodjWq1WSb/8ZR/mmjJliv71r39Jkjw8PPTwww9r0aJFkn7ph/Tr7/9yVqtVOTk5unDhgurWrUvvnKyyvkmsOVf2z3/+Uz/++KM+//zzcrdnZ2fLYrFUuO62bNliN7aicYZh0D8TXalv0i9PbvTq1Utt27ZVfn6+Vq1apZkzZ+rw4cNasWKFbRx9cw4vLy8NHTpU0dHRCgoK0nfffae5c+eqW7duSktLU7t27VhvLqqi3nXv3l3btm1Tu3btJLHmykO4us4cOHBATz75pLp06aLY2FhbfdasWXbjhg8frttvv13PPfecVq1aZfvQfGFhoby9vR2O6+PjY9sOc02ePFnDhg1TVlaW3nvvPZWWlqq4uFjSr7/vK/Wkbt269M7JKuubxJpzVTk5OXrhhRf0/PPPKzAwsNwxV1p3l/eE/jlHVfomSUuWLLH7+dFHH9WECRP05ptvavLkybZ/JadvzhEVFaWoqCjbz4MHD9bDDz+ssLAwTZ8+XR9//DHrzUVVpXcSa648PBZ4HTl58qQGDRqkBg0aaOXKlbJYLJWOnzx5siwWi91rMH19fe3+gnhJUVGRbTvMFRoaql69emnUqFH66KOPlJubqyFDhkj69fddlZ7QO+eqrG8VYc3VvP/7v/+zPaJZkSutu8t7Qv+coyp9q8iUKVNkGAbrzkW0aNFC999/vzZt2iTDMFhvbuS3vatIbV9zhKvrxPnz5zVgwACdP39e69ev180333zFfXx8fNSwYUPl5OTYalarVSdOnHAYe+nxtPJerQlzDR06VF9++aUOHz5su4V+6fd/uezsbAUGBqpu3bqS6F1Nu7xvFWHN1azvv/9eS5YsUVxcnDIzM5WRkaGjR4+qqKhIFy5cUEZGhs6cOWN7TKWidXd5T6xWa4XjJPpnhqr2rSJNmjSRJId1R99qTpMmTVRSUqL8/HzWm5u5vHeVjZFq75ojXF0HiouLNXjwYNv3QbRq1apK++Xl5en06dNq1KiRrRYeHq6CggIdOHDAbuz27dtlsVgUHh5u6tzh6NKt8XPnzik4OFiNGjXSzp07Hcalp6fb9YPe1azL+1YR1lzNyszMlGEYiouLU7NmzdSsWTM1b95cO3bs0MGDB9W8eXP9/e9/V5s2beTp6emw7i5cuKA9e/Y4rLtDhw4pLy/Pbiz9M09V+1aRI0eOSJLDuqNvNefIkSPy8fFRQEAA683NXN67ysZItXjN1cDr32Gi0tJSY8iQIYaXl5exfv36cscUFRUZubm5DvW//vWvhoeHh/Hhhx/aasePHze8vLyMv/zlL3Zju3XrZjRp0oTv3DHRTz/95FC7cOGC0b59e8Pf39/Iz883DKPy77lavHixrUbvnKMqfWPNuabTp08bH374ocOfNm3aGLfddpvx0UcfGfv27TMMo/Lv3fnss89stUvf3fLqq6/aasXFxcbtt99udO7c2XkXdx2rat/Onz9vFBcXO+w/YsQIw8PDw9i9e7etRt+c49SpUw61PXv2GF5eXsaDDz5oq7HeXE9VeseaKx8vtHBzTz/9tP773/9qyJAhOn36tJYvX263/dFHH9WJEyd09913a+TIkbbXPa9fv16ffPKJoqOj7T4nEhISoqeeekpz585VSUmJOnXqpPfff19bt27Vu+++e8XPcaHqJkyYoPPnz6t79+4KCQnRiRMntHz5ch08eFDz5s2Tn5+fJOnZZ5/VqlWr1LNnT02aNEm5ubmaO3eu2rVrpzFjxtiOR++coyp9y8jIYM25oIYNG5b7ubj58+fLYrHovvvus9VmzZqlLl26qHv37nriiSd07NgxzZs3T/3791ffvn1t4yIiIjRs2DBNnz5dJ0+eVMuWLbV06VJlZGTo7bffdsp1Xe+q2rcvvvhCI0eO1MiRI9WyZUsVFhZqzZo1SktL04QJE+z+ZZy+OceIESPk6+urzp07q3Hjxvr222+1ZMkSBQQE6OWXX7aNY725nqr0bteuXay58tR0usPv07NnT8PDw6PCP4ZhGGfPnjViY2ON0NBQIyAgwPD19TXatm1rJCQkGBcvXiz3uLNnzzaaNWtm+Pj4GG3btjVWrFjhzMuqFZKSkox+/foZVqvV8PLyMho2bGj069fPWLt2rcPY7777zhgwYIAREBBgBAYGGrGxseXeQTEMelfdqtI31px76dmzpxEWFuZQ37p1q9G1a1fDz8/PuOmmm4y4uDi7f1m/pLi42IiPjzeCg4MNX19f45577jE2bNjgjKnXar/t2w8//GCMGDHCaN68ueHn52cEBAQYnTp1MpYsWVLu/vSt+i1atMiIjIw0goKCDC8vLyMkJMQYPXq0ceTIEYexrDfXUpXesebKZzGMSl73AQAAAACogDJAlAAABatJREFUEl5oAQAAAAAmIFwBAAAAgAkIVwAAAABgAsIVAAAAAJiAcAUAAAAAJiBcAQAAAIAJCFcAAAAAYALCFQAAAACYgHAFAAAAACYgXAEAAACACQhXAAAAAGACwhUAoFZLTU3V1q1ba3oaAIDrAOEKAFBrff/991q7dq26dOnitHM+88wzys/Pd9r5AADOYzEMw6jpSQAAUBOGDx+ut956S/Xq1XPaOY8fP66XXnpJixcvdto5AQDOwZ0rAECtlJaWpsaNGzs1WEnSLbfcotDQUH3wwQdOPS8AoPoRrgAA171Tp07ptddeU2Fhoa32+uuvKyYmpkbmM378eM2fP79Gzg0AqD6EKwDAdW/mzJmKi4vTxo0bbbUtW7aoQ4cONTKf+vXr68Ybb9S+fftq5PwAgOrhWdMTAADg93rxxRf17bffKioqSqdPn1ZBQYGSk5OVkpKioKAgffrpp2rYsKH69u0r6ZcXWTRq1Eienvb/N/jSSy9p3759io2NlZeXl/bu3au8vDzl5ORo4cKFlY47c+aMMjMz9cYbb+j1119XaWmpdu3apdjYWA0cONBhzlFRUfrkk0/Upk2b6v3lAACchnAFAHBrn332mfr376/bbrtN48eP1+bNm1VYWKikpCQVFxfr2LFjOnTokOLj4+Xt7S1JyszMVOPGje2Ok5KSoj59+igwMFB/+tOftHDhQk2dOlWS1LBhQ40bN05hYWFXHFdcXKyFCxeqUaNGWrt2rZ577rlyw1W7du2UmJhYzb8dAIAz8VggAMCtWSwWRUVF6ZtvvtHQoUMVFRWlXr16KTs7WyEhIfr0009Vp04dTZw40bbPqVOnVL9+fbvjHDx4UFFRUdq3b586d+6sBx54QJJUWlqq3NxcWSyWKo0bNWqUGjVqJEnKzc2tcN6BgYE6cuSIqb8LAEDNIlwBANzapUf9UlNT1atXL4ftGzZs0KBBg9S0aVNbrayszGHchAkTZLFYlJqaqvvvv99W3759u7y8vHTHHXdUOm737t2qU6eObT6X5lTR57oaNGigc+fOXeXVAgBcGeEKAOD28vPztXv3bnXt2tWubhiGNm7cqLi4OLt6UFCQzp4963CcnJwcHThwwO44a9euVe/eve0+n1XeuC1btqhjx47y8vKy1T766CNFR0eXO+fS0lK7sQAA90e4AgC4vbS0NN144422u0uXfPXVV2rcuLHDHS2r1aqff/7Z4Thbt27VLbfcoiZNmthqK1eu1NChQ3X27FktX75c0i9B6rfjtmzZom7dutl+Tk1N1fnz5zVw4EAtXbpUBQUFduc6c+aM7fFBAMD1gXAFAHB7qamp6ty5s0N97969DnetJKl169Y6efKkw+OBqampdnejcnJy9MMPP6h3795auXKl7ZG/LVu2ONwl+224+vLLL9W5c2d5eXkpKytLfn5+duNPnz6t4ODgq79YAIDLIlwBANxeZmamHn74YYf6448/rj/+8Y8OdYvFonvuuUdff/21w3Eeeugh28+BgYF66KGH9MYbbygoKMj2hsHfjjt37pz8/PzswlV0dLRKS0v14osvasyYMQ5z2Llzpzp27HjV1woAcF0WwzCMmp4EAADO9umnn2rz5s2aNWtWjZy/b9++euONN9SiRYsaOT8AwHzcuQIA1Er9+/fX3r17VVRU5PRzZ2ZmyjAMghUAXGcIVwCAWuuFF17Q3/72N6efd9GiRZoxY4bTzwsAqF6EKwBArdWxY0d16NBBmzZtcto5v/76a5WUlKhHjx5OOycAwDn4zBUAAE708ssvKz4+XnXq1KnpqQAATEa4AgAAAAAT8FggAAAAAJiAcAUAAAAAJiBcAQAAAIAJCFcAAAAAYALCFQAAAACYgHAFAAAAACYgXAEAAACACQhXAAAAAGACwhUAAAAAmIBwBQAAAAAmIFwBAAAAgAn+Hy3QUsVHCeuTAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fc8f2061750>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fc8f104d190>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read data from the matlab calculation for the exact solution of un-guided mode contribution part for the averaged decay rate.\n",
    "using MAT\n",
    "matfile = matopen(\"data/nanofiber_decay_data.mat\")\n",
    "rp0_test=read(matfile,\"rp0_test\");\n",
    "gamma_rad = read(matfile,\"gamma_rad\");\n",
    "close(matfile)\n",
    "# Plot both BEM and exact solution of the un-guided mode contribution to the averaged decay rate as a function of dipole position.\n",
    "using PyPlot\n",
    "fig = figure(L\"\\Gamma_{rad}/\\Gamma_0(r') plot\",figsize=(10,5))\n",
    "ax = fig[:add_subplot](1,1,1)\n",
    "cp = ax[:plot](rprime, ldos_int[:,10]/2.0, \"b:\", linewidth=2.0)\n",
    "cp = ax[:plot](rp0_test[1,:]/1.e-9, 1+sum(gamma_rad,2), \"r-\", linewidth=2.0)\n",
    "\n",
    "xlabel(L\"r\\prime(nm)\")\n",
    "ylabel(L\"\\Gamma_{rad}/\\Gamma_0\")\n",
    "ylim(0.0,1.2)\n",
    "xlim(225,575)\n",
    "legend([L\"\\Gamma_{rad}^{BEM}/\\Gamma_0\",L\"\\Gamma_{rad}^{exact}/\\Gamma_0\"],loc=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result above shows a good agreement between the BEM method and the exact solution for the radiation mode contribution to the decay rate. \n",
    "The mismatch becomes considerable only when the dipole is very close to the surface, in which case there is a negative LDOS on the edge of the BEM calculation in the $k$-space. \n",
    "This small error may be corrected by filtering out the negative LDOS values in the $k$-space."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the known Green's function tensor expression for the guided modes, one can hence obtain a precise enough result for the decay rates as a function of dipole orientation and atom position."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Calculation of Green's function tensor using BEM\n",
    "\n",
    "BEM can output full local field components so that computing the radiative mode contribution to the full Green's function tensor is possible. With the Green's function tensor, one can then calculate the modified decay rates with dipoles orientated along arbitrary directions--including the dipole transitions corresponding to $\\sigma_\\pm$ and $\\pi$ transitions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fc8f1040c10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "40-element Array{Float64,1}:\n",
       " 1.26273 \n",
       " 1.19281 \n",
       " 1.15113 \n",
       " 1.11658 \n",
       " 1.08723 \n",
       " 1.0622  \n",
       " 1.04091 \n",
       " 1.02288 \n",
       " 1.00773 \n",
       " 0.995152\n",
       " 0.984854\n",
       " 0.976597\n",
       " 0.970163\n",
       " ⋮       \n",
       " 0.987259\n",
       " 0.990825\n",
       " 0.99423 \n",
       " 0.997424\n",
       " 1.00037 \n",
       " 1.00304 \n",
       " 1.0054  \n",
       " 1.00745 \n",
       " 1.00916 \n",
       " 1.01052 \n",
       " 1.01155 \n",
       " 1.01225 "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load data for different dipole positions.\n",
    "rp_BEM=[230,240,250,260,270,280,290,300,310,320,330,340,350,360,370,380,390,400,405,410,420,430,440,450,460,470,480,490,500,510,520,530,540,550,560,570,580,590,600,610];\n",
    "lenrp=length(rp_BEM);\n",
    "lendr=146;\n",
    "E_dipolex = readdlm(\"data/dipolex_E_N_1_lam_894_eps_2.1013_1e-05_a_225_x_405_y_0_q_0_1.45_146.dat\", header=false);\n",
    "k_vec=E_dipolex[:,2];\n",
    "Ex_dx=zeros(Complex{Float64},lendr,lenrp); Ey_dx=zeros(Complex{Float64},lendr,lenrp); Ez_dx=zeros(Complex{Float64},lendr,lenrp);\n",
    "Ex_dy=zeros(Complex{Float64},lendr,lenrp); Ey_dy=zeros(Complex{Float64},lendr,lenrp); Ez_dy=zeros(Complex{Float64},lendr,lenrp);\n",
    "Ex_dz=zeros(Complex{Float64},lendr,lenrp); Ey_dz=zeros(Complex{Float64},lendr,lenrp); Ez_dz=zeros(Complex{Float64},lendr,lenrp);\n",
    "for ii=1:lenrp\n",
    "    E_dipolex = readdlm(\"data/dipolex_E_N_1_lam_894_eps_2.1013_0.001_a_225_x_$(rp_BEM[ii])_y_0_q_0_1.45_146.dat\", header=false)\n",
    "    Ex_dx[:,ii]=E_dipolex[:,5]+im*E_dipolex[:,6];\n",
    "    Ey_dx[:,ii]=E_dipolex[:,7]+im*E_dipolex[:,8];\n",
    "    Ez_dx[:,ii]=E_dipolex[:,9]+im*E_dipolex[:,10];\n",
    "    \n",
    "    E_dipoley = readdlm(\"data/dipoley_E_N_1_lam_894_eps_2.1013_0.001_a_225_x_$(rp_BEM[ii])_y_0_q_0_1.45_146.dat\", header=false)\n",
    "    Ex_dy[:,ii]=E_dipoley[:,5]+im*E_dipoley[:,6];\n",
    "    Ey_dy[:,ii]=E_dipoley[:,7]+im*E_dipoley[:,8];\n",
    "    Ez_dy[:,ii]=E_dipoley[:,9]+im*E_dipoley[:,10];\n",
    "    \n",
    "    E_dipolez = readdlm(\"data/dipolez_E_N_1_lam_894_eps_2.1013_0.001_a_225_x_$(rp_BEM[ii])_y_0_q_0_1.45_146.dat\", header=false)\n",
    "    Ex_dz[:,ii]=E_dipolez[:,5]+im*E_dipolez[:,6];\n",
    "    Ey_dz[:,ii]=E_dipolez[:,7]+im*E_dipolez[:,8];\n",
    "    Ez_dz[:,ii]=E_dipolez[:,9]+im*E_dipolez[:,10];\n",
    "end\n",
    "# Calculate the diagonal elements of the Green's function tensor from the radiation mode contribution.\n",
    "c=2.99792458e8;\n",
    "au=1.72e7; # This is the atomic unit in the CGS-units: $q/a_0^2$ statvolts/cm. In SI units, it becomes $e/(4π\\varepsilon_0a_0^2)$ = 5.2e11 V/m.\n",
    "lambda0=0.895e-6;\n",
    "ω=2.*pi*c/lambda0;\n",
    "GFT_rad_ind=zeros(Complex{Float64},3,3,lenrp);\n",
    "Gxx_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gxy_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gxz_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gyx_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gyy_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gyz_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gzx_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gzy_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gzz_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "G0=Inf + 2.0/3.*(ω/c)^3*im;\n",
    "gamma_rad_BEM_rp_average=zeros(lenrp);\n",
    "gamma_rad_BEM_rp_sigmap=zeros(lenrp);\n",
    "gamma_rad_BEM_rp_sigmam=zeros(lenrp);\n",
    "gamma_rad_BEM_rp_pi=zeros(lenrp);\n",
    "# Define the unitary dipole orientation vector.\n",
    "e_dipole_sigmap=[-1.;-1.0*im;0]/sqrt(2);\n",
    "e_dipole_sigmam=[1.; -1.0*im;0]/sqrt(2);\n",
    "e_dipole_pi=[0.; 0.; 1.];\n",
    "using NumericalIntegration\n",
    "for ii=1:lenrp\n",
    "    Gxx_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ex_dx[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;#G0+\n",
    "    Gyy_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ey_dy[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;#G0+\n",
    "    Gzz_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ez_dz[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;#G0+\n",
    "    Gyx_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ey_dx[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gzx_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ez_dx[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gxy_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ex_dy[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gzy_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ez_dy[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gxz_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ex_dz[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gyz_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ey_dz[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    GFT_rad_ind[:,:,ii]=[Gxx_rad_ind[ii] Gxy_rad_ind[ii] Gxz_rad_ind[ii];\n",
    "        Gyx_rad_ind[ii] Gyy_rad_ind[ii] Gzy_rad_ind[ii];\n",
    "        Gzx_rad_ind[ii] Gzy_rad_ind[ii] Gzz_rad_ind[ii]];\n",
    "end\n",
    "\n",
    "# Calculate the relative averaged decay rate at the given dipole located at x=405nm and y=0.\n",
    "gamma0=imag(G0);\n",
    "for ii =1:lenrp\n",
    "    gamma_rad_BEM_rp_average[ii]=1+trace(imag(GFT_rad_ind[:,:,ii]))/gamma0/3.;\n",
    "    gamma_rad_BEM_rp_sigmap[ii]=1+real((e_dipole_sigmap'*imag(GFT_rad_ind[:,:,ii])*e_dipole_sigmap)/gamma0)[1];\n",
    "    gamma_rad_BEM_rp_sigmam[ii]=1+real((e_dipole_sigmam'*imag(GFT_rad_ind[:,:,ii])*e_dipole_sigmam)/gamma0)[1];\n",
    "    gamma_rad_BEM_rp_pi[ii]=1+real((e_dipole_pi'*imag(GFT_rad_ind[:,:,ii])*e_dipole_pi)/gamma0)[1];\n",
    "end\n",
    "\n",
    "# Recalculate the diagonal GFT elements with a dipole placed at r'=405nm from the fiber axis with lower imaginary part of epsilon.\n",
    "E_dipolex = readdlm(join([\"data/dipolex_E_N_1_lam_894_eps_2.1013_1e-05_a_225_x_\",\"405\",\"_y_0_q_0_1.45_146.dat\"]), header=false)\n",
    "Ex_dx_r0=E_dipolex[:,5]+im*E_dipolex[:,6];\n",
    "Ey_dx_r0=E_dipolex[:,7]+im*E_dipolex[:,8];\n",
    "Ez_dx_r0=E_dipolex[:,9]+im*E_dipolex[:,10];\n",
    "E_dipoley = readdlm(join([\"data/dipoley_E_N_1_lam_894_eps_2.1013_1e-05_a_225_x_\",\"405\",\"_y_0_q_0_1.45_146.dat\"]), header=false)\n",
    "Ex_dy_r0=E_dipoley[:,5]+im*E_dipoley[:,6];\n",
    "Ey_dy_r0=E_dipoley[:,7]+im*E_dipoley[:,8];\n",
    "Ez_dy_r0=E_dipoley[:,9]+im*E_dipoley[:,10];\n",
    "E_dipolez = readdlm(join([\"data/dipolez_E_N_1_lam_894_eps_2.1013_1e-05_a_225_x_\",\"405\",\"_y_0_q_0_1.45_146.dat\"]), header=false)\n",
    "Ex_dz_r0=E_dipolez[:,5]+im*E_dipolez[:,6];\n",
    "Ey_dz_r0=E_dipolez[:,7]+im*E_dipolez[:,8];\n",
    "Ez_dz_r0=E_dipolez[:,9]+im*E_dipolez[:,10];\n",
    "Gxx_rad_r0=integrate(k_vec[1:breakpoint],Ex_dx_r0[1:breakpoint],Trapezoidal())*(ω/c)^3/pi^2*au*4./3.;\n",
    "Gyy_rad_r0=integrate(k_vec[1:breakpoint],Ey_dy_r0[1:breakpoint],Trapezoidal())*(ω/c)^3/pi^2*au*4./3.;\n",
    "Gzz_rad_r0=integrate(k_vec[1:breakpoint],Ez_dz_r0[1:breakpoint],Trapezoidal())*(ω/c)^3/pi^2*au*4./3.;\n",
    "gamma_rad_BEM_r0=imag(Gxx_rad_r0+Gyy_rad_r0+Gzz_rad_r0)/3./gamma0;\n",
    "\n",
    "# Plot out gamma_rad as a function of dipole position.\n",
    "figure(figsize=(16,3));\n",
    "subplot(1,2,1)\n",
    "plot((1:breakpoint)/100.,real(Ex_dx[1:breakpoint,4]),\"r-\")\n",
    "plot((1:breakpoint)/100.,imag(Ex_dx[1:breakpoint,4]),\"b-\")\n",
    "ylabel(L\"E(\\beta)\")\n",
    "xlabel(L\"\\beta/k_0\")\n",
    "legend([\"Real\",\"Imag\"],loc=\"lower left\")\n",
    "\n",
    "subplot(1,2,2)\n",
    "a=225.;\n",
    "plot(rp0_test[1,:]/1.e-9-a, 1+sum(gamma_rad,2), \"r-\", linewidth=2.0)\n",
    "plot(rp_BEM-a,real(gamma_rad_BEM_rp_average),\"b*-\")\n",
    "plot(405-a,real(gamma_rad_BEM_r0)+1.,\"mo\");\n",
    "plot(rp_BEM-a,gamma_rad_BEM_rp_sigmap,\"r.-\");\n",
    "plot(rp_BEM-a,gamma_rad_BEM_rp_sigmam,\"m--\");\n",
    "plot(rp_BEM-a,gamma_rad_BEM_rp_pi,\"k.\")\n",
    "xlabel(\"(r'-a)/nm\")\n",
    "ylabel(L\"\\Gamma_{rad}^{BEM}/\\Gamma_0\")\n",
    "#ylim([0,1.2])\n",
    "legend([L\"average_{mode\\,\\,decomp}\",L\"average_{BEM}\",L\"average_{no\\,\\,loss}\",L\"\\sigma_+\",L\"\\sigma_-\",L\"\\pi\"],loc=\"upper center\",fontsize=12);\n",
    "#legend([L\"average_{BEM}\",L\"average_{no\\,\\,loss}\",L\"\\sigma_+\",L\"\\sigma_-\",L\"\\pi\"],loc=\"upper center\",fontsize=12);\n",
    "gamma_rad_BEM_rp_average"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "On the plots above, the left shows the real and imaginary parts of the induced field component $E_x(r')$ when an $x$-polarized dipole was placed at $r'=405$nm away from the fiber axis. Results are calculated from BEM and are not normalized properly. When the wave number $k\\approx k_0=\\omega/c$, the values are changing dramatically, despite of a small givin loss to the material. \n",
    "\n",
    "The plot on the right-hand-side is the modified decay rates from the non-guided modes calculated in different methods and scenarios. \n",
    "The red solid line (using the verified \"exact\" mode decomposition method) and the blue stars (using the BEM approach) are the averaged decay rates from the non-guided mode contribution part given as\n",
    "$$\\begin{align}\n",
    "\\frac{\\Gamma_{rad}}{\\Gamma_0} &= 1+ \\frac{\\sum_{i=x,y,z}\\mathrm{Im}\\left[\\mathbf{e}_i^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_i\\right]}{\\sum_{i=x,y,z} \\mathrm{Im}\\left[\\mathbf{e}_i^*\\cdot \\mathbf{G}_0(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_i\\right]}\\\\\n",
    "&=1+ \\frac{\\sum_{i=x,y,z}\\mathrm{Im}\\left[\\mathbf{e}_i^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_i\\right]}{3\\mathrm{Im}\\left[G_0(\\mathbf{r}',\\mathbf{r}')\\right]}\\\\\n",
    "&= 1+ \\frac{\\mathrm{Tr}\\left\\{\\mathrm{Im}\\left[ \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\right]\\right\\}}{3\\mathrm{Im}\\left[G_0(\\mathbf{r}',\\mathbf{r}')\\right]}\n",
    "\\end{align}$$\n",
    "where $\\mathbf{G}_0=G_0\\mathbb{1}$ with $G_0(\\mathbf{r}',\\mathbf{r}';\\omega)=\\frac{2}{3}k_0^3$ is the Green's function in vacuum with $k_0=\\frac{\\omega}{c}$; and the radiation mode contribution of the induced Green's function tensor in presence of the nanofiber is \n",
    "$$ G_{ind,rad}^{ij}(\\mathbf{r}',\\mathbf{r}')=\\frac{2k_0^2*a.u.}{3\\pi^2}\\int_{-k_0}^{k_0} d\\beta E_j^i(\\mathbf{r}')=\\frac{4k_0^2*a.u.}{3\\pi^2}\\int_{0}^{k_0} d\\beta E_j^i(\\mathbf{r}')$$ with $E_j^i(\\mathbf{r}')$ representing the $i$ electric field component with an atomic unit dipole polarized along $j$ direction ($i,j=1,y,z$).\n",
    "Since the the BEM program uses atomic units and CGS-unit system, the prefactor in the formulas above, $a.u.=\\frac{q}{a_0^2}=1.72\\times 10^7$statvolts/cm, comes from the atomic unit transformation.\n",
    "Compared to the previous averaged LDOS calculation (red curve), the averaged decay rate (dots) calculated based on the local feild componets with dipoles orientated along three basis directions using the BEM program matches our exact solution pretty well.\n",
    "The small mismatch when the dipole position becomes far from the fiber surface may be due to the fact that our \"exact\" decay rate for comparison was actually truncated up to $10$-th order of the non-guided eigen modes of the nanofiber which yields some error for the final result.\n",
    "From what we have calculated earlier for LDOS, the induced non-guided mode contribution part to the decay rate could be negative at some dipole positions which is correctly reflected at the series of numbers as the last output of the calculation above. \n",
    "\n",
    "From the second plot, we also show the non-guided mode induced decay rates that can be coupled to the $\\sigma_\\pm$ and $\\pi$ dipole transitions. \n",
    "As you can see, when the atoms are placed around $200$nm from the nanofiber surface, different dipole transitions don't make a noticeable difference which is no longer true for the square waveguide case as shown in another simulation notebook.\n",
    "In details, we calculate the polarization-dependent decay rates from the non-guided mode contributions by \n",
    "$$\\begin{align}\n",
    "\\frac{\\Gamma_{rad}}{\\Gamma_0} &= 1+ \\frac{\\mathrm{Im}\\left[\\mathbf{e}_q^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_q\\right]}{ \\mathrm{Im}\\left[\\mathbf{e}_q^*\\cdot \\mathbf{G}_0(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_q\\right]}\n",
    "=1+ \\frac{\\mathrm{Im}\\left[\\mathbf{e}_q^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_q\\right]}{\\mathrm{Im}\\left[G_0(\\mathbf{r}',\\mathbf{r}')\\right]},\n",
    "\\end{align}$$\n",
    "where the three orthogonal dipole transition bases\n",
    "$$\\begin{align}\n",
    "\\mathbf{e}_\\pm &=\\mp \\frac{\\mathbf{e}_{\\tilde{x}}\\pm i\\mathbf{e}_{\\tilde{y}}}{\\sqrt{2}}\\\\\n",
    "\\mathbf{e}_0 &=\\mathbf{e}_{\\tilde{z}}\n",
    "\\end{align}$$\n",
    "correspond to the $\\sigma_\\pm$ and $\\pi$ transitions of the atoms.\n",
    "These basis vectors are quantization-axis dependent, but in our calculation above, we assume the $z$-axis or the waveguide axis is the quantization axis, and hence $\\mathbf{e}_{\\tilde{x}}=\\mathbf{e}_x$, $\\mathbf{e}_{\\tilde{y}}=\\mathbf{e}_y$ and $\\mathbf{e}_{\\tilde{z}}=\\mathbf{e}_z$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Export some variables to a MAT file.\n",
    "#using HDF5,JLD\n",
    "#h5open(\"data/Julia_nanofiber_GFT_decayrates_rad.h5\", \"w\") do h5file\n",
    "#    g=g_create(h5file, \"nanofiber\")\n",
    "#    write(h5file, \"nanofiber/rp_BEM\", rp_BEM)#, \"GFT_rad_ind\",GFT_rad_ind)#,\"omega\",ω,\"gamma0\",gamma0,\"e_dipole_sigmap\",e_dipole_sigmap, \"e_dipole_sigmam\",e_dipole_sigmam,\"e_dipole_pi\",e_dipole_pi,\"gamma_rad_BEM_rp_average\",gamma_rad_BEM_rp_average,\"gamma_rad_BEM_rp_sigmap\",gamma_rad_BEM_rp_sigmap,\"gamma_rad_BEM_rp_sigmam\",gamma_rad_BEM_rp_sigmam,\"gamma_rad_BEM_rp_pi\",gamma_rad_BEM_rp_pi,\"a\",a)\n",
    "#    write(h5file,\"nanofiber/GFT_rad_ind\",GFT_rad_ind)\n",
    "#end\n",
    "#save(\"data/Julia_nanofiber_GFT_decayrates_rad.jld\",\"rp_BEM\",rp_BEM,\"imGFT_rad_ind\",imag(GFT_rad_ind),\"omega0\",ω)\n",
    "using MAT\n",
    "matopen(\"data/Julia_nanofiber_GFT_decayrates_rad_D1.mat\", \"w\") do matfile\n",
    "    write(matfile,\"omega0\",ω)\n",
    "    write(matfile,\"rp_BEM\",collect(rp_BEM))\n",
    "    write(matfile,\"gamma0\",gamma0)\n",
    "    write(matfile,\"e_dipole_sigmap\",e_dipole_sigmap)\n",
    "    write(matfile,\"e_dipole_sigmam\",e_dipole_sigmam)\n",
    "    write(matfile,\"e_dipole_pi\",e_dipole_pi)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_average\",gamma_rad_BEM_rp_average)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_sigmap\",gamma_rad_BEM_rp_sigmap)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_sigmam\",gamma_rad_BEM_rp_sigmam)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_pi\",gamma_rad_BEM_rp_pi)\n",
    "    write(matfile,\"a\",a)\n",
    "    write(matfile,\"GFT_rad_rp\",GFT_rad_ind)\n",
    "    write(matfile,\"Gxx_rad_rp\",Gxx_rad_ind)\n",
    "    write(matfile,\"Gxy_rad_rp\",Gxy_rad_ind)\n",
    "    write(matfile,\"Gxz_rad_rp\",Gxz_rad_ind)\n",
    "    write(matfile,\"Gyx_rad_rp\",Gyx_rad_ind)\n",
    "    write(matfile,\"Gyy_rad_rp\",Gyy_rad_ind)\n",
    "    write(matfile,\"Gyz_rad_rp\",Gyz_rad_ind)\n",
    "    write(matfile,\"Gzx_rad_rp\",Gzx_rad_ind)\n",
    "    write(matfile,\"Gzy_rad_rp\",Gzy_rad_ind)\n",
    "    write(matfile,\"Gzz_rad_rp\",Gzz_rad_ind)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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